CBSE Class 10 Answered
Areas related to Circles
Asked by RACHIT_MAHAAN | 18 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
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