An arc of length 22cm subtends an angle of \theta at the center of the circle. What is the value of \theta if the radius of the circle is 15cm?[Take \pi = 22/7]
A
70o
B
84o
C
96o
D
156o
E
168o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(2\pi r = 2 \times 3.142 \times 15 = 94.28cm\)
\(94.28cm = 360^\circ\)
\(1cm = \frac{360^\circ}{94.28}\)
\(\therefore 22cm = \frac{360^\circ}{94.28} \times 22\)
= 84^\circ
Source: Myschool Past Questions Archive (Record #22643)