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.
25.7^{o} - B.
44^{o} - C.
51.43^{o} - D.
98^{o} - E.
114.55^{o}
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°