A figure consists of a square of side z meter with semicircle drawn on the outside of the square. The area (in m2) of the figure so formed will be

A figure consists of a square of side z meter with semicircle drawn on the outside of the square. The area (in m²) of the figure so formed will be

A Z2

B z2+2πz2

C z2+πz2/8

D 4πz2

Correct Answer: Option C

Area of the square is z2

And, the radius of the circle drawn on the outside of the square = z/2

Now, the area of the circle is = π(z/2)2 = πz2/4

The are of the semi circle is = 1/2 * πz2/4

= πz2/8

Thus, the area of the entire figure is = z2+πz2/8