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]

25.7^o

44^o

51.43^o

98^o

114.55^o

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°