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Find Length of an arc of circle when measure of arc is 50 and radius is 3.5?
Wiki User
∙ 14y ago
We have a formula of finding the arc length, s = θr, where s is the length of the intercepted arc, θ is the central angle measured in radians, and r is the radius of the circle.
So that we need to convert 50 degrees in radians.
1 degrees = pi/180 radians
50 degrees = 50(pi/180) radians = 5pi/18 radians
s = θr (replace θ with 5pi/18, and r with 3.5)
s = (5pi/18)(3.5) = (17.5/18) pi ≈ 3
Thus, the length of the arc is about 3.
Wiki User
∙ 14y ago
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