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

Verified Answer :

The arc length is 8π.
The circumference of the circle is 2πr = 9π.

\(\frac{arc}{circumference} = \frac{angle}{360}\)

so \(\frac{8 \pi }{9 \pi } = \frac{x}{360}\)

cross-multiply: 9x = 360(8)

x = 320