Question

Find the radius of a circle on which a central angle measuring 5 over 6 pi radians intercepts an arc on the circle with a length of 35π centimeters

Answer 1

Arc length = rθ    [r = radius of the circle, θ = central angle in radians]  ⇒


$r= \cfrac{arc \ length}{\theta} = \cfrac{35 \pi }{ \frac{5}{6} \pi } = \cfrac{35 \pi *6}{5 \pi } =7*6=42 \ cm$