c ircles – c ircumference & a rea geometry mr. bower bowerpower.net

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CIRCLES – CIRCUMFERENCE & AREA Geometry Mr. Bower BowerPower.net

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Page 1: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – CIRCUMFERENCE & AREAGeometry

Mr. Bower

BowerPower.net

Page 2: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES - CIRCUMFERENCE

The perimeter (distance around) a circle is called its CIRCUMFERENCE.

Page 3: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES - CIRCUMFERENCE

The perimeter (distance around) a circle is called its CIRCUMFERENCE.

That’s how we get the circumference formula!

Page 4: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING DIAMETER)

Page 5: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING RADIUS)

Page 6: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING DIAMETER) – EXAMPLE 1

Find the CIRCUMFERENCE of a circle with diameter of 12 cm

Page 7: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING DIAMETER) – EXAMPLE 1

Find the CIRCUMFERENCE of a circle with diameter of 12 cm

Page 8: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING DIAMETER) – EXAMPLE 1

Find the CIRCUMFERENCE of a circle with diameter of 12 cm

Page 9: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING DIAMETER) – EXAMPLE 1

Find the CIRCUMFERENCE of a circle with diameter of 12 cm

Page 10: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING RADIUS) – EXAMPLE 2

Find the CIRCUMFERENCE of a circle with radius of 15 ft

Page 11: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING RADIUS) – EXAMPLE 2

Find the CIRCUMFERENCE of a circle with radius of 15 ft

Page 12: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING RADIUS) – EXAMPLE 2

Find the CIRCUMFERENCE of a circle with radius of 15 ft

Page 13: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE (USING RADIUS) – EXAMPLE 2

Find the CIRCUMFERENCE of a circle with radius of 15 ft

ft

Page 14: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE– EXAMPLE 3

Find the RADIUS of a circle with a circumference of

Page 15: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE– EXAMPLE 3

Find the RADIUS of a circle with a circumference of

Page 16: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE– EXAMPLE 3

Find the RADIUS of a circle with a circumference of

Divide both sides by

Page 17: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE– EXAMPLE 3

Find the RADIUS of a circle with a circumference of

Divide both sides by

Page 18: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- CIRCUMFERENCE– EXAMPLE 3

Find the RADIUS of a circle with a circumference of

28 miles

Page 19: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES- AREA

Page 20: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 4

Find the AREA of a circle with radius of 11 m

Page 21: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 4

Find the AREA of a circle with radius of 11 m

Page 22: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 4

Find the AREA of a circle with radius of 11 m

Page 23: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 4

Find the AREA of a circle with radius of 11 m

Page 24: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 4

Find the AREA of a circle with radius of 11 m

Page 25: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

Page 26: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

The area formula uses a RADIUS, but we know a DIAMETER

Page 27: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

The area formula uses a RADIUS, but we know a DIAMETER

Page 28: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

The area formula uses a RADIUS, but we know a DIAMETER

Page 29: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

The area formula uses a RADIUS, but we know a DIAMETER

Page 30: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

Page 31: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

Page 32: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 5

Find the AREA of a circle with diameter of 16 m

Page 33: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

Page 34: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

Page 35: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Page 36: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Divide both sides by

Page 37: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Page 38: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Take the square root of both sides

Page 39: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Page 40: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Simplify radical

Page 41: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Simplify radical

Page 42: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

Simplify radical

Page 43: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

CIRCLES – AREA – EXAMPLE 6

Find the RADIUS of a circle with an area of 200

200

ft

Page 44: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net

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