**Q) The minute hand of a wall clock is 18 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes. **

**Ans: **

∵ Angle subtended by minute hand in full one hour or 60 mins = 360^{0}

∴ Angle subtended by minute hand in 35 mins = 35 x

= 35 x 6 = 210^{0}

Since, Area of an arc with angle θ:

A = π r ^{2} x

here, r = 18 cm, θ = 210

∴ A = x (18)^{2} x

= 594 cm^{2}

**Hence, the area covered by minute hand in 35 minutes is 594 cm ^{2}**

**.**

**Please do press “Heart” button if you liked the solution.**