Question

The length of the minute hand of a clock is 21cm. Find the area swept by the minute hand in 5 minutes.

Answer 1

$\sf{\huge{\underline{\orange{Given :-}}}}$

• The length of the minute hand of a clock is 21cm.

$\sf{\huge{\underline{To\:Find :-}}}$

• The area swept by the minute hand in 5 minutes.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We are having a clock,

The measure of angle around the clock is 360° .

360° = 2π

Hence, the area swept in 1 hrs = 360°

1 hrs = 60 mins

If in a time period of 60 mins = 2π

In 1 minutes time period = 2π/60

In 5 minutes time period = 5 × 2π/60

➝ 2π / 12

➝ π / 6

_____________________________________