Question

What is the formula to calculate the area of a sector?

(a) $\frac {x^{\circ }}{360^{\circ }}$ × πr^2

(b) $\frac {x^{\circ }}{360^{\circ }}$ + πr^2

(c) $\frac {x^{\circ }}{360^{\circ }}$ – πr^2

(d) $\frac {x^{\circ }}{360^{\circ }}$ × πr^3

This question was posed to me by my college professor while I was bunking the class.

This is a very interesting question from Area of Sector and Segment of a Circle in portion Area Related to Circles of Mathematics – Class 10

Answer 1

Right choice is (a) $\frac {x^{\circ }}{360^{\circ }}$ × πr^2

The explanation is: The area of the sector is $\frac {x^{\circ }}{360^{\circ }}$ × πr^2

Where x° is the degree measure of the angle at the center and r is the radius of the circle.