SOLUTION: Find the degree of the measure of the central angle associated with an arc that is 16 inches long in a circle with a radius of 12 inches. A. 76.4(degrees) B. 270.0(degrees) C.

Algebra ->  Test -> SOLUTION: Find the degree of the measure of the central angle associated with an arc that is 16 inches long in a circle with a radius of 12 inches. A. 76.4(degrees) B. 270.0(degrees) C.      Log On


   



Question 141254: Find the degree of the measure of the central angle associated with an arc that is 16 inches long in a circle with a radius of 12 inches.
A. 76.4(degrees)
B. 270.0(degrees)
C. 283.6(degrees)
D. 43.0(degrees)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the degree of the measure of the central angle associated with an arc that is 16 inches long in a circle with a radius of 12 inches.
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The circumference is 2pi*r = 24pi inches
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The arc is 16/24pi = 0.2122066 of the circle
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0.2122066*360 = 76.4 degrees
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Cheers,
Stan H.

A. 76.4(degrees)
B. 270.0(degrees)
C. 283.6(degrees)
D. 43.0(degrees)