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
  • E 114.55o
waec 1989mathematics

The correct answer is E. 114.55o

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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