SOLUTION: an arc is 0.04 meters long and is intercepted by a central angle of circumfrence/8 radians. what is the diameter of the circle?
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Question 567026: an arc is 0.04 meters long and is intercepted by a central angle of circumfrence/8 radians. what is the diameter of the circle? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! an arc is 0.04 meters long and is intercepted by a central angle of circumfrence/8 radians. what is the diameter of the circle?
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Formula: theta(in radians) = (arc length)/(radius)
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radius = (arc length)/theta
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radius = (0.04 meters)/(2pi/8)
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= 0.04/(pi/4)
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= 0.04*4/pi
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= 0.16/pi
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Therefore diameter = 2(0.16/pi) = 0.32/pi meters
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Cheers,
Stan H.
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