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GarryVolchara [31]
3 years ago
13

If the second hand of a clock has a length of 10 cm, find the distance the tip of the second hand travels in 45 seconds. Give an

answer rounded to the nearest 100th.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

The distance traveled by the second hand of the clock is 0.471 m.

<h3 />

To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.

<h3>Formula:</h3>
  • L = 2πr∅/360.................. Equation 1

<h3> Where: </h3>
  • L = distance traveled by the tip of the second hand.
  • r = Length of the second hand
  • ∅ = angle formed by the second hand of the clock
  • π = pie

From the question,

<h3>Given:</h3>
  • r = 10 cm = 0.1 m
  • ∅ = (360×45/60) =  270°
  • π = 3.14

Substitute these values into equation 1

  • L = 0.1×2×270×3.14/360
  • L = 0.471 cm.

Hence, The distance traveled by the second hand of the clock is 0.471 m

Learn more about distance traveled here: brainly.com/question/4931057

<h3 />

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