Question

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the arc is °.

Answer 1

The correct answer

320

:)

Answer 2

The arc length of a subtending arc on a circle has the formula:
s = rθ
where is the arc length
r is the radius
θ is the angle subtended

So,
θ = s/r = 8π / 4.5 = 16π/9

We multiply it with 180/π to convert it to degrees.
(16π/90) (180/π) = 320°