Q) The minute hand of a wall clock is 18 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes. 

Ans: 

∵ Angle subtended by minute hand in full one hour or 60 mins = 360⁰

∴ Angle subtended by minute hand in 35 mins = 35 x

= 35 x 6 = 210⁰

Since, Area of an arc with angle θ:

A = π r ² x

here, r = 18 cm, θ = 210

∴ A = x (18)² x

= 594 cm²

Hence, the area covered by minute hand in 35 minutes is 594 cm².

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