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11. Area Related To Circles
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Q6 of 59 Page 122

In covering a distance s m, a circular wheel of radius r m makes revolution. Is this statement true? Why?

True

The distance travelled by a circular wheel of radius r m in one revolution is equal to the circumference of the circle = 2πr


∴ No. of revolutions completed in 2πr m distance = 1


No. of revolutions completed in 1 m distance = (1/2πr)


No. of revolutions completed in s m distance = (1/2πr) × s


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4

Is it true to say that area of segment of a circle is less than the area of its corresponding sector? Why?

5

Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is 2πd. Why?

7

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

8

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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11. Area Related To Circles
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