Question

the length of the minute hand of a clock is 14 cm find the distance travelled by the tip of minute hand in 15 minutes

Answer 1

In 15 minutes the hand will move 90°


90° means one fourth of the circle.

Since it is asked how much distance it will move we have to find the length of arc made by the minute hand in 15 minutes.


Since 90° makes one fourth of the circle,

length of arc = 1/4 of the circumference of circle.

Circumference of circle = 2πr

Here r is given 14cm

=> circumference = 2 × 22/7 × 14

=> circumference = 88cm



Now the hand moves one fourth only. So distance covered = 1/4 × 88

=> 22cm



The tip of the hand covered 22cm


Hope it helps dear friend ☺️✌️