Find the radius of ⊙R. Round your answer to the nearest hundredth.

Answer:
53.93 cm
Step-by-step explanation:
The given arc is 38.95 and the angle is 260 degrees.
A full angle would be 360 degrees, so we can use a ratio to find what the full circle would be:
[tex]\frac{260}{360}[/tex] = [tex]\frac{38.95}{x}[/tex]
This equation is saying that 38.95 is equal to 260 degrees of the circle, while x is equal to 360 degrees.
Solving for x:
260x = 14022
x = 53.9306792
Round and it is:
53.93 cm