Question
Length of a minute hand of a clock is 14 cms. Area swept
bv the minute hand in 5 minutes is:Solution
We know that the minute hand completes one rotation in 1 hour or 60 minutes. Therefore, area swept by the minute hand in 60 minutes = Area of the circle with radius equal to the length of the minute hand = ฯr2 Using unitary method, we get Area swept by minute hand in 1 minute = ฯr2/60 Thus, area swept by minute hand in 5 minutes = (ฯr2/60) ร 5 = ฯr2/12 Length of the minute hand (r) = 14 cm It is known that the minute hand completes one rotation in 1 hour or 60 minutes Therefore, the area swept by the minute hand in 60 minutes = ฯr2 Therefore, the area swept by the minute hand in 5 minutes = 5/60 ร ฯr2 โ 1/12 ฯr2 = 1/12 ร 22/7 ร 14 ร 14 cm2 = 154/3 cm2
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