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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

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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+

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3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

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