RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 16 of Formative Assessment (Unit Test)

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16

The minute hand of a clock is 7.5 cm long. Find the area of the face of the clock described by the minute hand in 56 minutes.

Length of minute hand = 7.5 cm


In a clock, length of minute hand = radius


Radius = R = 7.5 cm


In 1 minute, minute hand moves 6°


So, in 56 minutes, minute hand moves 56 × 6° = 336°


Area described by minute hand =


= 22/7 × 7.5 × 7.5 × 336°/360° cm2


= 165 cm2


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