An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]
- A.
70^{o} - B.
84^{o} - C.
96^{o} - D.
156^{o} - E.
168^{o}
Correct Answer: Option B
Explanation
(2pi r = 2 times 3.142 times 15 = 94.28cm)
(94.28cm = 360°)
(1cm = frac{360°}{94.28})
(therefore 22cm = frac{360°}{94.28} times 22)
= 84°