Question 415213: The arch over the window is 36 inches. The radius of the circle that is formed is 12. What is the measure of the central angle?
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The arch over the window is 36 inches. The radius of the circle that is formed is 12. What is the measure of the central angle?
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In trigonometry there is a formula for a circle:
s=rx, r=radius,s=arc length, and x=central angle in radians.
For the given problem,the arc length is 36 and the radius is 12.
36=12x
x=36/12=3 radians
ans:
The central angle=3 radians
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