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Area of a Circle

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Area of a Circle

This transcript covers the area of a circle, providing formulas, examples, and practice problems. It explains how to calculate the area using the radius or diameter and demonstrates solving for different variables given certain information.

1/20/2023

654

AREA: P: times the radius squared →→> A=²
2
Circle
radius B (in.). π = A A=4πin ²
2 in.
Az 12.4in.²-
center>
AREA OF A CIRCLE
lên m
Hin
6cm

Area of a Circle: Formulas and Examples

The transcript provides a comprehensive overview of calculating the area of a circle using various methods and examples. It covers key concepts and formulas related to circular geometry.

  • The fundamental formula for the area of circle with radius r is A = πr²
  • Several examples demonstrate how to apply this formula in different scenarios
  • The relationship between diameter and radius (d = 2r) is utilized in calculations
  • Practical applications include finding shaded areas and solving for unknown variables

Definition: The area of a circle is the amount of space enclosed within its circumference, calculated using the formula A = πr², where r is the radius.

Highlight: Understanding how to manipulate the area formula is crucial for solving various types of circular area problems.

The transcript includes five detailed examples:

  1. Finding the area of a circle with a given diameter
  2. Calculating the radius when the area is known
  3. Determining the area of a circle inscribed in a square
  4. Computing the area of a shaded region between a square and an inscribed circle
  5. Finding the diameter of a circle with a specified area

Example: For a circle with a diameter of 12 cm, the area is calculated as A = π(6²) = 36π cm², approximately 113.1 cm².

Vocabulary:

  • Radius: The distance from the center of a circle to its edge
  • Diameter: The length of a line through the center of a circle from one side to the other, equal to twice the radius

The document also mentions Quizizz codes for classwork and homework, suggesting interactive practice opportunities for students to reinforce their understanding of circular area calculations.

Highlight: Practice and application are key to mastering the concepts of circular area calculations, as evidenced by the multiple examples and practice opportunities provided.

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Knowunity is the # 1 ranked education app in five European countries

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I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Area of a Circle

This transcript covers the area of a circle, providing formulas, examples, and practice problems. It explains how to calculate the area using the radius or diameter and demonstrates solving for different variables given certain information.

1/20/2023

654

 

Geometry

46

AREA: P: times the radius squared →→> A=²
2
Circle
radius B (in.). π = A A=4πin ²
2 in.
Az 12.4in.²-
center>
AREA OF A CIRCLE
lên m
Hin
6cm

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Area of a Circle: Formulas and Examples

The transcript provides a comprehensive overview of calculating the area of a circle using various methods and examples. It covers key concepts and formulas related to circular geometry.

  • The fundamental formula for the area of circle with radius r is A = πr²
  • Several examples demonstrate how to apply this formula in different scenarios
  • The relationship between diameter and radius (d = 2r) is utilized in calculations
  • Practical applications include finding shaded areas and solving for unknown variables

Definition: The area of a circle is the amount of space enclosed within its circumference, calculated using the formula A = πr², where r is the radius.

Highlight: Understanding how to manipulate the area formula is crucial for solving various types of circular area problems.

The transcript includes five detailed examples:

  1. Finding the area of a circle with a given diameter
  2. Calculating the radius when the area is known
  3. Determining the area of a circle inscribed in a square
  4. Computing the area of a shaded region between a square and an inscribed circle
  5. Finding the diameter of a circle with a specified area

Example: For a circle with a diameter of 12 cm, the area is calculated as A = π(6²) = 36π cm², approximately 113.1 cm².

Vocabulary:

  • Radius: The distance from the center of a circle to its edge
  • Diameter: The length of a line through the center of a circle from one side to the other, equal to twice the radius

The document also mentions Quizizz codes for classwork and homework, suggesting interactive practice opportunities for students to reinforce their understanding of circular area calculations.

Highlight: Practice and application are key to mastering the concepts of circular area calculations, as evidenced by the multiple examples and practice opportunities provided.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying