Mathematics

An arc of a circle radius 7cm is 14cm long. What angle does the arc…

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
Correct Answer: Option E
Explanation

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°