The radius of a circle is 7.2 cm. If a central angle measures 112°, what is the length of its intercepted arc to the nearest hundredth?

- - The full central angle of the whole circle is 360°.

- - 112° is (112/360) = 0.3111 ... of the whole circle.

- - If we can find the full circumference, then the arc inside

the 112° angle is just 0.3111 of the whole thing.

The circumference of a circle is (pi) x (diameter).

The radius of this circle is 7.2 cm, so the diameter is 14.4 cm.

Circumference = (pi) x (14.4 cm) = 45.239 cm

The arc inside the 112° angle is

(0.3111 ...) x (45.239 cm) = 14.074 cm

Rounded to the nearest hundredth: 14.07 cm.