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An arc of a circle, radius 14cm, is 18.33cm long. Calculate ...

An arc of a circle, radius 14cm, is 18.33cm long. Calculate to the nearest degree, the angle which the arc subtends at the centre of the circle. [T = 227]

A.

11o

B.

20o

C.

22o

D.

75o

Correct answer is D

Length of an arc = θ360×2πr

18.33 = θ360×2×227×14

θ=18.33×360×172×22×14

= 75o (approx.)