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Transcript of C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.
![Page 1: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/1.jpg)
CIRCLES – CIRCUMFERENCE & AREAGeometry
Mr. Bower
BowerPower.net
![Page 2: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/2.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/3.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/4.jpg)
CIRCLES- CIRCUMFERENCE (USING DIAMETER)
![Page 5: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/5.jpg)
CIRCLES- CIRCUMFERENCE (USING RADIUS)
![Page 6: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/6.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/7.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/8.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/9.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/10.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/11.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/12.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/13.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/14.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/15.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/16.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/17.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/18.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/19.jpg)
CIRCLES- AREA
![Page 20: C IRCLES – C IRCUMFERENCE & A REA Geometry Mr. Bower BowerPower.net.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/20.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/21.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/22.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/23.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/24.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/25.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/26.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/27.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/28.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/29.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/30.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/31.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/32.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/33.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/34.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/35.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/36.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/37.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/38.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/39.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/40.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/41.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/42.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/43.jpg)
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.](https://reader037.fdocuments.us/reader037/viewer/2022103100/56649ece5503460f94bdaa71/html5/thumbnails/44.jpg)
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