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Questions
The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
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.
Solution
Angle make by the minute hand in 1 minute = 6∘
Angle make by the minute hand in 5 minute = 5 ⨯ 6∘ = 30∘
The area of the sector having a central angle is given by
= `(30°)/(360°) xx pi xx (14)^2`
`=1/12 xx22/7 xx (14)^2`
`=51.33 cm^2`
Hence, the area swept by minute hand in 5 minutes is 51.33 cm2
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