Question

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.

Answer 1

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