Question

the minute hand of a clock is 10cm long. find the area on the face of the clock described by the minute hand between 9 am and 9:30 am​

Answer 1

Answer:

157.4 cm^2

Step-by-step explanation:

Minute hand of a clock is 10 cm long.

radius r = 10 cm.

For 1 hour = 60 minutes,

Minute hand completes one revolution = 360°

60 min = 360°

Then, 1 min = 6°

From 9AM to 9:30AM it is 30 minute angle.

So, the angle described by the minute hand in 30 minutes,

=> 6 * 30 = 180°

Area swept by the minute hand in 30 minutes

=> Ф/360 * πr²

=> (180/360) * (22/7) * 10²

=> 157.14 cm²

Hence, Area swept = 157.14 cm²

#Hope my answer helped you!