UPSC 2016 CDS I Math Paper

Area of shaded region A = Area of shaded region C = Area of semicircle with radius 3m – Area of semi-circle with radius 2 m + Area of semi-circle with radius 1 m
=3πm2
Area of the region B = Area of the circle – Area of shaded region A –Area of shaded region C
=π×32−3π−3π
=9π−6π
=3πm2
Therefore, ratio of the three areasA, B and C =3π:3π:3π=1:1:1