CBSE Class 10 Maths (Standard) 2015 · Paper 30/1/1 · Question 16

Areas Related to Circles 3 marks Medium

In Fig. 3, APB and AQO are semicircles, and

A O = O B

. If the perimeter of the figure is

40

cm, find the area of the shaded region.

[Use π = \frac{22}{7}]

Large semicircle APB on diameter AB (below) and small semicircle AQO on diameter AO (above), with O the midpoint of AB.

Answer

r = 7

cm and the shaded area

= 96.25

^{2}

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