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°