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28 December, 22:28

In a circle a central angle of 144 intercepts an arc of 15 inches. find the length of the radium of the circle in inches

a) 9

b) 12

c) 6

d) 3

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Answers (1)
  1. 29 December, 01:09
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    Correct option: c)

    radius = 6 inches

    Step-by-step explanation:

    The complete arc of a circumference has 360 degrees, and the length is 2*pi*radius

    Knowing this, we can use a rule of three to solve this problem:

    144 degrees - > 15 inches

    360 degrees - > 2 * pi * radius

    144/360 = 15 / (2pi*radius)

    2pi*radius = 360 * 15 / 144

    radius = 37.5 / (2pi)

    radius = 5.9683 inches

    Rounding to nearest whole number, we have radius = 6 inches

    Correct option: c)
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