CBSE Class 10 Maths (Standard) 2016 · Paper 30/2/1 · Question 30

Areas Related to Circles 4 marks Medium

Find the area of the shaded region in Fig. 8, where arc

A P D

, arc

A QB

, arc

B R C

and arc

C S D

are semi-circles of diameter

14

cm,

3.5

cm,

7

cm and

3.5

cm respectively.

[Use π = \frac{22}{7}]

Fig. 8 — four semicircles on segment AD; APD and BRC shaded, AQB and CSD removed.

Answer

The area of the shaded region is

86.625 cm^{2}

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