RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 7 of Formative Assessment (Unit Test)

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7

The minute hand of a clock is 12 cm long. Find the area swept by it in 35 minutes.

Length of the minute hand of a clock = 12 cm


Radius = R = 12 cm


In 1 minute, minute hand sweeps 6°


So, in 35 minutes, minute hand will sweep 35 × 6° = 210°


Area swept by minute hand in 35 minutes = Area of a sector of angle of a circle with radius R = = 22/7 × 12 × 12 × 60°/360° = 264 cm2


Area swept by minute hand in 35 minutes = 264 cm2


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