Ask Question
19 March, 07:27

What is the approximate measure, in degrees, of the central angle of the circle whose radius is 15m and arc length is 10m?

38.22

40.25

42.99

46.37

+1
Answers (1)
  1. 19 March, 07:46
    0
    38.22

    Step-by-step explanation:

    Arc length = fraction of the circle * circumference

    10 = fraction of the circle * 2*pi * 15

    10 = fraction of the circle * 30pi

    Divide by 30 pi

    10/30pi = fraction of the circle

    1/3pi = fraction of the circle

    A circle is 360 degrees

    1 / (3*3.14) = x/360

    1/9.42 = x/360

    Multiply each side by 360

    360/9.42 = x

    38.21656051

    Rounding to the nearest hundredth

    38.22 degrees
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What is the approximate measure, in degrees, of the central angle of the circle whose radius is 15m and arc length is 10m? 38.22 40.25 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers