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10.4 ­ Area of a Circle




 Objective: Find the area of a circle.



                                         Joseph Williams
                                         GESD
                                         jwilliams@gesd40.org




                                                                1
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
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
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
12 ft.



                  19 ft.




                                 6 ft



Find the area of the key and half circle above the free throw line.




                                                                      5
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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10.4 Area of a Circle