Question

The areas of two sectors of two different circles with equal corresponding arc lengths are equal. Is this statement true? Why?

Options

• True

• False

Answer 1

This statement is False.

Explanation:

The statement is false because the area of a sector of a circle = `(1/2)r^2θ`, where r is the radius and θ the angle in radians subtended by the arc at the center of the circle. It does not depend on the arc length.