AC=BD=7 cm and AB=CD=1.75 cm. semicircles are drawn as shown in the figure. find the area of the shaded region.

Dear Student,

Please find below the solution to the asked query:

Given : AC = BD = 7 cm and AB = CD = 1.75 cm

We know area of semicircle = π r22
Shaded area =  2 ( Area of semicircle with diameter AC  -  Area of semicircle with diameter AB )

Shaded area =  2  227 ×7222 - 227 ×1.75222  = 2  227 ×4942 - 227 ×3.062542  = 2  11 ×74 - 11 ×0.43754 = 2  77 - 4.81254  = 2×72.18754 = 36.09375 cm2
Hope this information will clear your doubts about Circles.

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