Question

The area of a semicircle is _____

(a) \(\frac {2\pi r}{2}\)

(b) \(\frac {2\pi r}{2}\)

(c) \(\frac {\pi r}{2}\)

(d) \(\frac {\pi r^2}{2}\)

This question was addressed to me by my school principal while I was bunking the class.

This interesting question is from Perimeter and Area of a Circle topic in section Area Related to Circles of Mathematics – Class 10

Answer 1

Correct option is (d) \(\frac {\pi r^2}{2}\)

Easy explanation: A semicircle is half of a full circle. Hence, the area of a semicircle is also half of a circle. Half of πr^2 is \(\frac {\pi r^2}{2}\). Therefore, the area of a semicircle is \(\frac {\pi r^2}{2}\).