Math, asked by SauhardyaHaldar, 8 months ago

The distance travelled by the tip of minute hand in 10 minutes when the length of it is 20 cm, is??

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Answers

Answered by NehaKari
0

Given:

The length of the minute hand is 20 cm.

To Find:

The distance traveled by the tip of a minute hand in 10 minutes

Solution:

As we know that the angle covered by a minute hand in 1 minute is equal to  = 360/60 = 6°

∴ In 10 minute = 6° × 10 = 60°

The distance traveled by the tip of a minute hand in 10 minutes will be an arc of a circle with a radius of 20 cm which subtends a 60° angle at the center.

so, length of arc = Ф/ 360 × 2πr

= 60/360 × 2π(20)

= 1/6 × 40π

= 20/3 π cm

= 20.93 cm

Hence, the distance traveled by the tip of the minute hand in 10 minutes is 20.93 cm.

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