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WAEC - Mathematics (1989 - No. 16)

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]
25.7o
44o
51.43o
98o
114.55o

Spiegazione

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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