An arc of a circle radius 14cm is 18 33cm long ... - WAEC Mathematics 2008 Question
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 = (\frac{22}{7})]
A
11o
B
20o
C
22o
D
75o
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Correct Option: D
Length of an arc = (\frac{\theta}{360} \times 2\pi r)
18.33 = (\frac{\theta}{360} \times 2 \times \frac{22}{7} \times 14)
(\theta = \frac{18.33 \times 360 \times 17}{2 \times 22 \times 14})
= 75o (approx.)
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