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

MCQ
True or False

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

• True

• False

#### Solution

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.

Concept: Areas of Sector and Segment of a Circle
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.2 | Q 9 | Page 123
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