Q) The minute hand of a clock is 14 cm long. Find the area on the face of the clock described by the minute hand in 5 minutes.

Ans: 

Step 1: ∵ Angle subtended by minute hand in full one hour or 60 mins = 360⁰

∴ Angle subtended by minute hand in 5 mins = 5 x  = 5 x 6 = 30⁰

Step 2: Since the area of an arc with angle θ, A = π r ² x

here, r = 14 cm, θ = 30⁰

∴ A = = 22 x 14 x 2 x

= cm²

Hence, the area covered by minute hand in 5 minutes is cm².

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