Question

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

Answer 1

Angle described by the minute hand in 60 minutes = 360°

Angle described by the minute hand in 35 minutes `=(360/60xx35)^circ`

= 210°

Now, 

r = 12 cm and θ = 210°

∴ Required area swept by the minute hand in 35 minutes = Area of the sector with r = 12 cm and θ = 210° 

`=(pi"r"^2theta)/360`

`=(22/7xx12xx12xx210/360)"cm"^2`

= 264 cm²