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What is the measure of arc RC?

Question options

30°

60°

90°

120°

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What is the length of Arc AB, if the radius of Circle L is 12 inches?

(not degrees)

Question  options:

24.07 inches

724.5 inches

75.36 inches

3.14 inches

 Jun 3, 2018
edited by ForgottenMoon  Jun 3, 2018
edited by ForgottenMoon  Jun 3, 2018
 #1
avatar+18049 
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Since the lines are all the same length, the angles are all the same measure.   The three angles equally divide the entire 360 degree circle.   1/3 of 360 degrees is 120 degrees.

 

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The circumference of a circle is given by  pi d     where diameter = 2r = 24

115 degrees is a fraction of the 360 degrees of a complete circle.....this fraction is 115/360 ...so the arc length will be

(115/360) * pi * 24 = 24.07 inches

 Jun 3, 2018

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