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

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Question

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

Answer in Brief
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Solution

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.

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Chapter 11: Area Related To Circles - Exercise 11.2 [Page 123]

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