CBSE Class 10 Maths (Standard) 2017 · Paper 30/2 · Question 31

Areas Related to Circles 4 marks Medium

In the given figure,

△ A B C

is a right-angled triangle in which

∠ A

9 0^{\circ}

. Semicircles are drawn on

A B

A C

and

B C

as diameters. Find the area of the shaded region.

Right triangle with semicircles on its three sides; the shaded lunes lie on the two legs.

Answer

Area of the shaded region

= 6

^{2}

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