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Areas Related to Circles

Short Answer Type

101. The diameter of the wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 km per hour.

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102. A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the speed per hour with which the boy is cycling.

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103. A chord of a circle of radius 15 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle.

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104.

A chord of a circle of radius 12 cm subtends an angle of 120° at the centre. Find the area of the corresponding segment of the circle.

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105. A chord of a circle of radius 30 cm makes an angle of 60° at the centre of the circle. Find the area of the minor and major segments.

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106. The radius of a circle with centre O is 6 cm. Two radii OA and OB are drawn at right angles to each other. Find the areas of the minor and major segments.

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107. A chord 10 cm long is drawn in a circle whose radius is $bold 5 square root of bold 2$ Find the area of both the segments. (Use π = 3.14)

14.25 cm², 142.75 cm²

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108. A horse is placed for grazing inside a rectangular field 70 m by 52 m and is tethered to one corner by a rope 21 m long. How much area can it graze.

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109. The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days. (Take π = 3.14)

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