I think it’ll be easier to transform this question into one that looks like a square inscribed in a circle. Atleast that’s how I solved this one. Join the edges of the two semicircles making a square of side 2r (where r is the radius of the semicircle).
Now, if you think about the square, it’s diagonal would be the same as the diameter of the main circle. Use 45-45-90 for the diagonal ( i.e. the diagonal = diameter = root2 x 2r ). now you have the radius of the bigger circle in terms of the small semicircle. Find the area of the 2 semicirlces and divide by the area of the circle. It’s coming out as 50% ie. Option D
1 Like