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

Question

pashok25 [27]

3 years ago

11

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

Mathematics

1 answer:

ira [324] · Answer 1 · 2022-01-21T00:50:44+03:00

ira [324]3 years ago

7 0

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

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