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Solution


Q.

The length of the minute hand of a clock is 6cm. Find the area swept by it when it moves from 7:05 p.m. to 7:40 p.m.

Ans.

(66)

We know that, in 60 minutes, the tip of minute hand moves 360°

In 1 minute, it will move = 360°/60 = 6°

∴ From 7 : 05 pm to 7: 40 pm i.e. 35 min, it will move through = 35 × 6° = 210°

∴ Area of swept by the minute hand in 35 min = Area of sector with sectorial angle θ of 210° and radius of 6 cm

=210360×π×62=712×227×6×6=66 cm2