Mathematics

An arc of length 22cm subtends an angle of θ at the center of the…

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.
    70o
  • B.
    84o
  • C.
    96o
  • D.
    156o
  • E.
    168o
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°