Q9 of 59 Page 122

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

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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The numerical value of the area of a circle is greater than the numerical value of its circumference. Is this statement true? Why?

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If the length of an arc of a circle of radius r is equal to that of an arc of a circle of radius 2r, then the angle of the corresponding sector of the first circle is double the angle of the corresponding sector of the other circle. Is this statement false? Why?

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