Areas related to Circles

Asked by RACHIT_MAHAAN | 18th Feb, 2010, 06:58: PM

Expert Answer:

R - radius of semicircle, a - side of the square, As - area of square Ac - area of semicircle.

πR + 2R = 4a            ............Perimeters are equal

R(π + 2) = 4a

Ac + 4 = As

πR2/2 + 4 = a2

πR2/2 + 4 = (R(π + 2)/4)2

((π + 2)2 - 8π)R2 = 4x16

64R2/49 = 4x16          .............Using π = 22/7

R = 2x4x7/8 = 7 cm

Perimeter = 4a = R(π + 2) = 7(22/7 + 2) = 22 + 14 = 36 cm

As = 92 = 81 cm2 and Ac = 77 cm2

Regards,

Team,

TopperLearning

 

Answered by  | 19th Feb, 2010, 05:30: AM

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