Question

The minute hand of a clock is 10.5 cm long. Find the distance moved by the tip of the hand in 20 minutes. (take π= 22/7)

(Note: Answer should be 22 cm.)

Step by step analysis required.

Answer 1

Answer:

22 cm

Step-by-step explanation:

Length of the minute hand = 10.5 cm.

Angle traced by the minute hand in 1 minute = 6°.

Angle traced by the minute hand in 20 minutes = 120°.

Distance covered by the tip of minute hand in 20 minutes:

= θ/360° * 2πr

= (120°/360°) * 2 * (22/7) * 10.5

= (44 * 10.5)/21

= 462/21

= 22 cm.

Hope it helps!

Answer 2

If we consider the clock as a circle,then the length of the minute hand can be considered as the radius of the circle.We can use S = r{theta} to solve this problem.

{theta} = 2{pi} radians since minute hand goes a full circle within an hour.

r = 10.5 cm

Hence , S = 2 * 3.14 * 10.5 and this will give you the answer 65.94 cm.