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Dec 6, 2025
191
2 pages
Wendy Mico Avomo @wendymicoavomo_rbcu
Trigonometry and area calculations are essential skills you'll use throughout your maths GCSE and beyond. These formulas might... Show more
Trigonometry is all about the relationships between angles and sides in right-angled triangles. Think of it as a way to find missing information when you only know part of the puzzle.
The three main trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). Here's what each one represents sin = opposite ÷ hypotenuse, cos = adjacent ÷ hypotenuse, and tan = opposite ÷ adjacent.
Remember that the hypotenuse is always the longest side (opposite the right angle), the opposite side is across from your angle, and the adjacent side is next to your angle. A handy memory trick is "SOH CAH TOA" - it contains the first letters of each ratio.
You'll also need to memorise exact values for common angles like 30°, 45°, and 60°. These pop up frequently in exams, so knowing them off by heart will save you time and marks.
Quick Tip Always label your triangle sides (opposite, adjacent, hypotenuse) before choosing which ratio to use - it prevents silly mistakes!
Calculating area is a fundamental skill that appears in nearly every maths exam. Each shape has its own formula, but they're all logical once you understand the pattern.
For rectangles, it's simply area = length × width . Triangles are half of a rectangle, so area = ½ × base × height . Parallelograms work like rectangles area = base × height .
Trapeziums need a slightly different approach since they have two parallel sides of different lengths. The formula is area = ½ × (sum of parallel sides) × height, written as A = ½ × h.
For circles, you'll use area = π × radius² . Make sure you're using the radius (centre to edge) rather than the diameter (edge to edge through centre). This formula appears constantly in GCSE questions.
Exam Success Always write down the formula first, then substitute your values - examiners give marks for showing the correct formula even if your final answer is wrong.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
7
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Master the area calculations for various shapes including triangles, parallelograms, and trapeziums. This concise revision resource covers essential geometric formulas and provides clear examples to prepare for your Year 7 maths test on 16/1/23.
MathsExplore key geometric formulas and trigonometric principles essential for IGCSE/AQA/Edexcel exams. This study resource covers areas and volumes of various shapes, angle properties in polygons, and trigonometric rules, providing a comprehensive overview for effective revision. Ideal for students preparing for mathematics assessments.
MathsEnhance your exam readiness with this comprehensive practice paper for the Edexcel Level 1/Level 2 GCSE (9-1) Mathematics Higher Tier. This resource includes answered questions covering key concepts such as trigonometry, probability, statistics, and geometry. Ideal for students preparing for their GCSE exams, this paper helps reinforce understanding and application of mathematical principles.
MathsExplore essential GCSE maths formulas including area, volume, trigonometry, and probability. This comprehensive summary covers key concepts such as the Pythagorean theorem, sine and cosine rules, and quadratic equations, making it an invaluable resource for exam preparation.
MathsExplore the essential formulas and classifications of triangles in this concise summary. Learn about equilateral, scalene, and isosceles triangles, and how to calculate their area using the formula: Area = 1/2 × Base × Height. Perfect for quick revision and understanding triangle geometry.
MathsPrepare for your GCSE Higher Mathematics exam with this comprehensive mock exam set. This resource covers key topics such as simplifying rational expressions, solving inequalities, geometric transformations, and more. Ideal for students looking to practice and improve their understanding of essential mathematical concepts. Includes detailed solutions and explanations for each question.
MathsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Wendy Mico Avomo
@wendymicoavomo_rbcu
Trigonometry and area calculations are essential skills you'll use throughout your maths GCSE and beyond. These formulas might look intimidating at first, but they're actually straightforward tools that help solve real-world problems.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Trigonometry is all about the relationships between angles and sides in right-angled triangles. Think of it as a way to find missing information when you only know part of the puzzle.
The three main trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). Here's what each one represents: sin = opposite ÷ hypotenuse, cos = adjacent ÷ hypotenuse, and tan = opposite ÷ adjacent.
Remember that the hypotenuse is always the longest side (opposite the right angle), the opposite side is across from your angle, and the adjacent side is next to your angle. A handy memory trick is "SOH CAH TOA" - it contains the first letters of each ratio.
You'll also need to memorise exact values for common angles like 30°, 45°, and 60°. These pop up frequently in exams, so knowing them off by heart will save you time and marks.
Quick Tip: Always label your triangle sides (opposite, adjacent, hypotenuse) before choosing which ratio to use - it prevents silly mistakes!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Calculating area is a fundamental skill that appears in nearly every maths exam. Each shape has its own formula, but they're all logical once you understand the pattern.
For rectangles, it's simply area = length × width . Triangles are half of a rectangle, so area = ½ × base × height . Parallelograms work like rectangles: area = base × height .
Trapeziums need a slightly different approach since they have two parallel sides of different lengths. The formula is area = ½ × (sum of parallel sides) × height, written as A = ½ × h.
For circles, you'll use area = π × radius² . Make sure you're using the radius (centre to edge) rather than the diameter (edge to edge through centre). This formula appears constantly in GCSE questions.
Exam Success: Always write down the formula first, then substitute your values - examiners give marks for showing the correct formula even if your final answer is wrong.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
7
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Master the area calculations for various shapes including triangles, parallelograms, and trapeziums. This concise revision resource covers essential geometric formulas and provides clear examples to prepare for your Year 7 maths test on 16/1/23.
MathsExplore key geometric formulas and trigonometric principles essential for IGCSE/AQA/Edexcel exams. This study resource covers areas and volumes of various shapes, angle properties in polygons, and trigonometric rules, providing a comprehensive overview for effective revision. Ideal for students preparing for mathematics assessments.
MathsEnhance your exam readiness with this comprehensive practice paper for the Edexcel Level 1/Level 2 GCSE (9-1) Mathematics Higher Tier. This resource includes answered questions covering key concepts such as trigonometry, probability, statistics, and geometry. Ideal for students preparing for their GCSE exams, this paper helps reinforce understanding and application of mathematical principles.
MathsExplore essential GCSE maths formulas including area, volume, trigonometry, and probability. This comprehensive summary covers key concepts such as the Pythagorean theorem, sine and cosine rules, and quadratic equations, making it an invaluable resource for exam preparation.
MathsExplore the essential formulas and classifications of triangles in this concise summary. Learn about equilateral, scalene, and isosceles triangles, and how to calculate their area using the formula: Area = 1/2 × Base × Height. Perfect for quick revision and understanding triangle geometry.
MathsPrepare for your GCSE Higher Mathematics exam with this comprehensive mock exam set. This resource covers key topics such as simplifying rational expressions, solving inequalities, geometric transformations, and more. Ideal for students looking to practice and improve their understanding of essential mathematical concepts. Includes detailed solutions and explanations for each question.
MathsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
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