The minute hand of a clock is 12 cm long. Find the area swept by it in 35 minutes.

Options

A. 254 `cm^2`
B. 264 `cm^2`
C. 265 `cm^2`
D. 274 `cm^2`

Answer

B

Explanation

Angle described by the minute hand in 60 minutes `=360^(@)`
Angle described by the minute hand in 35 minutes
`=(360/60xx35)^(@)=210^(@)`
`impliestheta=210^(2)` and `r=12cm`
Area swept by the minute hand in 35 minutes
`=((pir^(2)theta)/360)=(22/7xx12xx12xx210/360)cm^(2)=264cm^(2)`