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10.4 Area of a Circle

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10.4 Area of a Circle

1. 1. 10.4 ­ Area of a Circle Objective: Find the area of a circle. Joseph Williams GESD jwilliams@gesd40.org 1
2. 2. Radius ­ The  distance from the  center of a circle to  any point on the  circle. Image: '1917 D penny' www.flickr.com/photos/96586445@N00/188729710 2
3. 3. pi ­  the ratio of the  circumference of a  circle to its diameter.  ( 3.14 ) Image: 'Happy 3.14 Day3' www.flickr.com/photos/17731548@N00/421636858 3
4. 4. Area of a Circle Area = (pi)(radius)2 2 2 A =      r A = (3.14)r 3 cm A = (3.14)32 A = 3.14    9 A = 28.26 cm2 4
5. 5. 12 ft. 19 ft. 6 ft Find the area of the key and half circle above the free throw line. 5
6. 6. Area of the key A = bh A = 19   12 = 228 ft2 Area of the half circle Now we need to add  A =     r2 them. A = 3.14   62  = 3.14   36 = 113.04 ft2 We only need the area for half the circle! 228 + 56.52 = 113.04 / 2 = 56.52 ft2  284.52 ft 2 6
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