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The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 9 A.M. and 9.35 A.M. - Mathematics

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Sum

The minute hand of a clock is 10cm long. Find the area of the face of the clock described by the minute hand between 9 A.M. and 9.35 A.M.

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Solution

We have,

Angle described by the minute hand in one minute = 6º

∴ Angle described by the minute hand in

35 minutes = (6 × 35)º = 210º

∴ Area swept by the minute hand in 35 minutes

= Area of a sector of angle 210º in a circle of radius 10 cm

`={ \frac{210}{360}\times \frac{22}{7}\times (10)^{2}}`

Concept: Circumference of a Circle
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