Question

the length of the minute hand of a clock is 5 cm find the area swept by the minute hand during the time from 4:5 a.m. to 4:40 a.m.

Answer 1

Let's see the angle swept by minute hand....

In 60 min. it sweeps 360°.

So, in 1 min 6°

Thus, from 4:05 to 4:40,

It will sweep an angle of 35*6 = 210°.....


Now, area swept

= (Angle/360) * π * r^2

= (210/360) * 22/7 * 25

= 275/6

= 45.83 cm^2....