Question

Length of minute hand of a clock is 14cm
Find area covered by minute hand on the circular dial in an interval of 20 minutes

Answer 1

area swept by minute hand will be 58.66

Answer 2

Answer:

The area covered by minute hand is 205.146 cm².

Step-by-step explanation:

Given : Length of minute hand of a clock is 14 cm .

To find : The area covered by minute hand on the circular dial in an interval of 20 minutes ?

Solution :

Length of minute hand l=14 cm

Interval is of 20 minutes.

We know, $1\ min=6^\circ$

$20\ min=20\times 6^\circ$

$20\ min=120^\circ$

The angle form is 120°.

The are is given by,

$A=\pi r^2\times\frac{\theta}{360}$

$A=3.14\times 14^2\times\frac{120}{360}$

$A=205.146$

Therefore, The area covered by minute hand is 205.146 cm².