Question

The minute hand of a clock is 7cm long. find the area of the face of the clock by the minute hand betwee 9am and 9.35am

Answer 1

I hope this will help u..

Answer 2

The area of the face of the clock by minute hand between 9 am and 9:35am is 89.80 cm².

• The total angle covered by minute hand in 60 minutes = 360°
• Now the angle covered by minute hand in 1 minute = 360/60 = 6°.
• The minute hand of the clock is 7 cm.
• We have to find the area covered by the minute hand from 9 to 9:35 that is in 35 minutes.
• Total angle covered in 35 minutes = 6×35 = 210°.

Now area of the sector is given by $\frac{\theta}{360}$ × πr²

Area of the sector = $\frac{210}{360}$ × πr²

Area of the sector = $\frac{7}{12}$ × π×7² = 89.80 cm².