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Question

The minute hand of a clock is 10 cm long. Find the area of the face of the clock described by the minute hand between 9A.M and 9.35A.M.
  1. 90.165cm2
  2. 112.6cm2
  3. 156.4cm2
  4. 183.3cm2

A
112.6cm2
B
156.4cm2
C
90.165cm2
D
183.3cm2
Solution
Verified by Toppr

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

=θ360πr12

=210360×227×(10)2 cm2.....

=183.3 cm2

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