Question

2.

The length of minute hand of a clock is 14cm. Find the area swept by the minute hand in 5 minutes

Answer 1

the answer is 154/3cm^2

Answer 2

Area swept by minute hand of 14 cm in 5 minutes = 51.33
`\mathrm{cm}^(2)`

Solution:

Given that length of the minute hand = 14 cm

Need to calculate the area swept by minute hand in 5 minutes.

As in 1 hour , that is 60 minutes , minute hand completes a circle .

So area swept by minute hand of 14 cm in 60 minutes = area of circle of radius 14 cm

As area of circle =
`\pi r^(2)`

where r is radius

So area swept by given minute hand in 60 minutes =
`\pi * 14^(2)=(22)/(7) * 14 * 14=616`

So area swept by given minute hand in 1 minute =
`(616)/(60)`

And area swept by given minute hand in 5 minute =
`(616)/(60) * 5=51.33`

Hence area swept by minute hand of 14 cm in 5 minutes is 51.33
`\mathrm{cm}^(2)`