An arc of a circle radius 7cm is 14cm long What... - WAEC Mathematics 1989 Question
An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take π = 22/7]
A
25.7o
B
44o
C
51.43o
D
98o
correct option: e
L = 14cm, r = 7cm; \(\theta\)= ?
L = \(\frac{\theta}{360}\) x 2πr
14= \(\frac{\theta\}{360}\) x 2π(7)
\(\theta = \frac{360 \times 14}{44}\)
=114.55°
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