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


`(arc)/(circumference) = (angle)/(360)`

so
`(8 \pi )/(9 \pi ) = (x)/(360)`

cross-multiply: 9x = 360(8)

x = 320