An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the center of circle?
[Take Ο = 22/7]
- 25.7o
- 44o
- 51.43o
- 98o
-
114.55o
The correct answer is: E
Explanation
L = 14cm, r = 7cm; \(\theta\)= ?
L = \(\frac{\theta}{360}\) x 2Οr
14= \(\frac{\theta\}{360}\) x 2Ο(7)
\(\theta = \frac{360 \times 14}{44}\)
=114.55Β°