Two identical circles of radius overlap so that the centre of each circle lies on the…

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

Two identical circles of radius

10\,\text{cm}

overlap so that the centre of each circle lies on the circumference of the other. Find the area of their overlapping region. (Take

\pi = 3.14

and

\sin 60^{\circ} = 0.866

.) (a)

61.4\,\text{cm}^2

(b)

9.0\,\text{cm}^2

(c)

18.1\,\text{cm}^2

(d)

43.3\,\text{cm}^2