Question

The minute hand of a clock is 12 cm. long. Find the area of the face of the clock described by the minute hand between 9.A.M. and 9:35 A.M.

Answer 1

Given , r = 12cm ; Area swept by minute hand = 35mins

Angle in 1 min = 360°/60° = 6°

Angle in 35 mins = Angle in 1 min × 35

= 6° × 35

= 210°

Area of sector = 22/7 × (12 × 12) × 210°/360°

= 22×12

= 264 sq. cm