Question

What is the measure of the indicated central angle?

Answer 1

do they want the angle in degrees or radians?

Answer 2

degrees

Answer 3

try this:
\[ s = r \theta\]
replace s with pi
and r with 9
can you do that ?

Answer 4

yes

Answer 5

3.14 = 9

Answer 6

you should leave pi as pi (it will cancel )
also don't leave out the theta. Let's use x instead of theta (easier to type)
s = r x
pi = 9 x

to get "x" (the angle) by itself, divide both sides by 9
pi/9 = (9/9)x
or
pi/9 = x

the central angle is pi/9 radians

can you change that to degrees?

Answer 7

multiply by 180/pi
\[ \frac{\pi}{9} \cdot \frac{180}{\pi} \]
to get degrees