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VladimirAG [237]
3 years ago
6

What is the arc length of the the arc subtended in a circle with radius 6 and an angle of 7pi/8

Mathematics
1 answer:
joja [24]3 years ago
7 0
First, find the fraction of the circumference represented by central angle 7pi/8:

 7pi/8
-------- 
   2pi

Then find the circumference; it is C = 2 pi r, or 2pi(6), or 12 pi units

Then the arc length is   7pi/8                  7
                                     -------- * 12 pi = -------- units, or 21/4 units, or 5 1/4 units. 
                                       2pi                   16 pi
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