1.

The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is(a) 153.9 cm²(b) 102.6 cm²(c) 51.3 cm²(d) 205.2 cm²Answer it with explanation​

Answer»

ANSWER:

a is the correct option

In 60 minutes, minute HAND completes 360

0

i.e., one rotation.

⇒ in 1 minute, minute HANDS completes

60

360

=6

Hence, in 5 minutes the angle covered is is 6×5=30

The angle of sector formed is 30

The area swept by the minute hand in 5 minutes=

360

30

×π×14×14

Using π=

7

22

, we get

The area swept by the minute hand in 5 minutes =

3

154 sq. cm



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