NCERT Solutions for Class 10 Maths Chapter 12

Important NCERT Questions

Areas Related To Circles Class,

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 12.2

Page No:230

Questions No:3

# The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.

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We know that, the minute hand makes an angle of 360° in one hour.

Hence, angle formed in 5 minutes

= 360°/60° x 5 = 30°

Therefore, area swept be the minute hand in 5 minutes.

= Area of sector of angle 30°

= 30° x πr²

= 1/12 x π(14) ²

= 1/12 x 22/7 x 14 x 14

= 154/3 cm²