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Polygons and Circles
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UNIT 6: POLYGONS AND CIRCLES POLYGONS: POLYGONS CAN BE CLASSIFIED BY THE NUMBER OF SIDES THEY HAVE: TRIANGLES: 3 SIDES 180° QUADRILATERALS: 4 SIDES PENTAGONS: 5 SIDES HEXAGONS: 6 SIDES HEPTAGONS: 7 SIDES OCTAGONS: 8 SIDES 360° 540° 900° 1260 720⁰ 1080° NONAGONS: 9 SIDES DECAGONS: 10 SIDES 1440° THE SUM OF THE INTERIOR ANGLES OF A POLYGON CAN BE FOUND USING THE FORMULA: (N-2) × 180 EXAMPLES: A TRIANGLE HAS 3 SIDES AND AN INTERIOR ANGLE SUM OF 180 DEGREES A SQUARE IS A REGULAR POLYGON WITH 4 SIDES AND AN INTERIOR ANGLE SUM OF 360 DEGREES -90 x 4 = 360 80° 50% AN OCTAGON IS A REGULAR POLYGON WITH 8 SIDES AND AN INTERIOR ANGLE SUM OF 1080 DEGREES CIRCLES: A CIRCLE CAN BE DEFINED BY ITS CENTER AND ITS RADIUS THE CIRCUMFERENCE OF A CIRCLE CAN BE FOUND USING THE FORMULA: C = 2₁R or JD THE AREA OF A CIRCLE CAN BE FOUND USING THE FORMULA: A = TR² EXAMPLES: 1.5-2 A CIRCLE WITH A RADIUS OF 5 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS CHORD: A CHORD IS A LINE SEGMENT THAT CONNECTS TWO POINTS ON A CIRCLE THE DISTANCE BETWEEN THE CENTER OF THE CIRCLE AND THE MIDPOINT OF THE CHORD IS CALLED THE BISECTOR EXAMPLES: Sunits] -bisector A CIRCLE WITH A...
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Alternative transcript:
RADIUS OF 5 UNITS AND A CHORD CONNECTING POINTS A AND B HAS A BISECTOR OF 3.5 UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS AND A CHORD CONNECTING POINTS C AND D HAS A BISECTOR OF 5 UNITS SECTOR: A SECTOR IS A PORTION OF A CIRCLE, DEFINED BY TWO RADII AND AN ARC THE AREA OF A SECTOR CAN BE FOUND USING THE FORMULA: A = (L/360) X TR² EXAMPLES: A CIRCLE WITH A RADIUS OF 5 UNITS AND A SECTOR WITH AN ANGLE OF 90 DEGREES HAS AN AREA OF 19.63 SQUARE UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS AND A SECTOR WITH AN ANGLE OF 180 DEGREES HAS AN AREA OF 31.42 SQUARE UNITS VOCABULARY: POLYGON: A CLOSED FIGURE MADE UP OF THREE OR MORE LINE SEGMENTS THAT FORM STRAIGHT ANGLES REGULAR POLYGON: A POLYGON WITH ALL SIDES AND ANGLES CONGRUENT 3.5 19,63 units B 5 units 5 units IRREGULAR POLYGON: A POLYGON WITH SIDES AND ANGLES NOT CONGRUENT CIRCLE: A SHAPE FORMED BY A SET OF POINTS THAT ARE THE SAME DISTANCE FROM A CENTRAL POINT RADIUS: THE DISTANCE FROM THE CENTER OF A CIRCLE TO ANY POINT ON THE CIRCLE DIAMETER: THE DISTANCE ACROSS THE CIRCLE, PASSING THROUGH THE CENTER CIRCUMFERENCE: THE DISTANCE AROUND THE CIRCLE Pi: A MATHEMATICAL CONSTANT, REPRESENTED BY THE SYMBOL ™, USED IN THE CALCULATION OF THE CIRCUMFERENCE OF A CIRCLE
These notes include key concepts and vocabulary for polygons and circles, including the different types of polygons, interior angles, and the formulas for finding the circumference, area, and area of a sector of a circle.
These notes include key concepts and vocabulary for polygons and circles, including the different types of polygons, interior angles, and the formulas for finding the circumference, area, and area of a sector of a circle.
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UNIT 6: POLYGONS AND CIRCLES POLYGONS: POLYGONS CAN BE CLASSIFIED BY THE NUMBER OF SIDES THEY HAVE: TRIANGLES: 3 SIDES 180° QUADRILATERALS: 4 SIDES PENTAGONS: 5 SIDES HEXAGONS: 6 SIDES HEPTAGONS: 7 SIDES OCTAGONS: 8 SIDES 360° 540° 900° 1260 720⁰ 1080° NONAGONS: 9 SIDES DECAGONS: 10 SIDES 1440° THE SUM OF THE INTERIOR ANGLES OF A POLYGON CAN BE FOUND USING THE FORMULA: (N-2) × 180 EXAMPLES: A TRIANGLE HAS 3 SIDES AND AN INTERIOR ANGLE SUM OF 180 DEGREES A SQUARE IS A REGULAR POLYGON WITH 4 SIDES AND AN INTERIOR ANGLE SUM OF 360 DEGREES -90 x 4 = 360 80° 50% AN OCTAGON IS A REGULAR POLYGON WITH 8 SIDES AND AN INTERIOR ANGLE SUM OF 1080 DEGREES CIRCLES: A CIRCLE CAN BE DEFINED BY ITS CENTER AND ITS RADIUS THE CIRCUMFERENCE OF A CIRCLE CAN BE FOUND USING THE FORMULA: C = 2₁R or JD THE AREA OF A CIRCLE CAN BE FOUND USING THE FORMULA: A = TR² EXAMPLES: 1.5-2 A CIRCLE WITH A RADIUS OF 5 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS CHORD: A CHORD IS A LINE SEGMENT THAT CONNECTS TWO POINTS ON A CIRCLE THE DISTANCE BETWEEN THE CENTER OF THE CIRCLE AND THE MIDPOINT OF THE CHORD IS CALLED THE BISECTOR EXAMPLES: Sunits] -bisector A CIRCLE WITH A...
UNIT 6: POLYGONS AND CIRCLES POLYGONS: POLYGONS CAN BE CLASSIFIED BY THE NUMBER OF SIDES THEY HAVE: TRIANGLES: 3 SIDES 180° QUADRILATERALS: 4 SIDES PENTAGONS: 5 SIDES HEXAGONS: 6 SIDES HEPTAGONS: 7 SIDES OCTAGONS: 8 SIDES 360° 540° 900° 1260 720⁰ 1080° NONAGONS: 9 SIDES DECAGONS: 10 SIDES 1440° THE SUM OF THE INTERIOR ANGLES OF A POLYGON CAN BE FOUND USING THE FORMULA: (N-2) × 180 EXAMPLES: A TRIANGLE HAS 3 SIDES AND AN INTERIOR ANGLE SUM OF 180 DEGREES A SQUARE IS A REGULAR POLYGON WITH 4 SIDES AND AN INTERIOR ANGLE SUM OF 360 DEGREES -90 x 4 = 360 80° 50% AN OCTAGON IS A REGULAR POLYGON WITH 8 SIDES AND AN INTERIOR ANGLE SUM OF 1080 DEGREES CIRCLES: A CIRCLE CAN BE DEFINED BY ITS CENTER AND ITS RADIUS THE CIRCUMFERENCE OF A CIRCLE CAN BE FOUND USING THE FORMULA: C = 2₁R or JD THE AREA OF A CIRCLE CAN BE FOUND USING THE FORMULA: A = TR² EXAMPLES: 1.5-2 A CIRCLE WITH A RADIUS OF 5 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS HAS A CIRCUMFERENCE OF 31.42 UNITS AND AN AREA OF 78.54 SQUARE UNITS CHORD: A CHORD IS A LINE SEGMENT THAT CONNECTS TWO POINTS ON A CIRCLE THE DISTANCE BETWEEN THE CENTER OF THE CIRCLE AND THE MIDPOINT OF THE CHORD IS CALLED THE BISECTOR EXAMPLES: Sunits] -bisector A CIRCLE WITH A...
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iOS User
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SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
RADIUS OF 5 UNITS AND A CHORD CONNECTING POINTS A AND B HAS A BISECTOR OF 3.5 UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS AND A CHORD CONNECTING POINTS C AND D HAS A BISECTOR OF 5 UNITS SECTOR: A SECTOR IS A PORTION OF A CIRCLE, DEFINED BY TWO RADII AND AN ARC THE AREA OF A SECTOR CAN BE FOUND USING THE FORMULA: A = (L/360) X TR² EXAMPLES: A CIRCLE WITH A RADIUS OF 5 UNITS AND A SECTOR WITH AN ANGLE OF 90 DEGREES HAS AN AREA OF 19.63 SQUARE UNITS A CIRCLE WITH A DIAMETER OF 10 UNITS AND A SECTOR WITH AN ANGLE OF 180 DEGREES HAS AN AREA OF 31.42 SQUARE UNITS VOCABULARY: POLYGON: A CLOSED FIGURE MADE UP OF THREE OR MORE LINE SEGMENTS THAT FORM STRAIGHT ANGLES REGULAR POLYGON: A POLYGON WITH ALL SIDES AND ANGLES CONGRUENT 3.5 19,63 units B 5 units 5 units IRREGULAR POLYGON: A POLYGON WITH SIDES AND ANGLES NOT CONGRUENT CIRCLE: A SHAPE FORMED BY A SET OF POINTS THAT ARE THE SAME DISTANCE FROM A CENTRAL POINT RADIUS: THE DISTANCE FROM THE CENTER OF A CIRCLE TO ANY POINT ON THE CIRCLE DIAMETER: THE DISTANCE ACROSS THE CIRCLE, PASSING THROUGH THE CENTER CIRCUMFERENCE: THE DISTANCE AROUND THE CIRCLE Pi: A MATHEMATICAL CONSTANT, REPRESENTED BY THE SYMBOL ™, USED IN THE CALCULATION OF THE CIRCUMFERENCE OF A CIRCLE