Question

If the measurement of a central angle is 5 pi over 6, find the length of its intercepted arc in a circle with a radius of 15 inches.

Answer 1

use
\[S = r \ \theta\]
where
S =intercepted arc length
r= radius
\[\theta = \angle \]

can u do that ?

Answer 2

in your problem
\[\theta = \frac{ 5 \pi }{ 6 }\]
r= 15 inches

plug them in to the equation

Answer 3

so s would equal 39.2?

Answer 4

yep!