Question

A circle has a radius of 17 cm find the length s of the arc intercepted by a central angle of 66 degrees

Answer 1

Arc length (s) = radius (r) x θ (in radians)

First, convert 66° into radians using the proportion π = 180°
$\frac{ \pi}{180} = \frac{x}{66}$
$\frac{66 \pi }{180} = x$
$\frac{11 \pi }{30} = x$

s = r θ
  = 17 ($\frac{11 \pi }{30}$)
  = $\frac{187 \pi }{30}$

Answer: $\frac{187 \pi }{30}$ ≈ 19.6 cm

Answer 2

Circumference = 2*17 pi = 34pi cms

length of s = (66/360) * 34 pi  =  6.233 pi  =   19.58 cm to nearest hundredth