SOLUTION: In a circle with 5 cm radius, an 11 cm arc subtends a central angle of how many radians? Of how many degrees, to the nearest degree?
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Question 441333: In a circle with 5 cm radius, an 11 cm arc subtends a central angle of how many radians? Of how many degrees, to the nearest degree?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a circle with 5 cm radius, an 11 cm arc subtends a central angle of how many radians? Of how many degrees, to the nearest degree?
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arc length = (theta)r where theta is a central angle in radians and
r = radius.
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Solve:
11 cm = theta(5)
theta = 11/5 radians
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Converting to degrees:
(11/5)(180/pi) = (11*180/(5pi)) = 126.051 degrees
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Cheers,
Stan H.
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