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

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

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False

The statement is false because the area of a sector of a circle = (1/2)r2θ, 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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