This document contains 4 word problems involving radians and circle geometry. Problem 1 asks to find the central angle in radians given an arc length of 1.8 cm and radius of 1.2 cm. Problem 2 asks for the central angle subtended by an arc that is 1/4 the circumference. Problem 3a asks to calculate the radius given an arc length of 16 cm and central angle of 80 degrees, and 3b asks for the area of that circle. Problem 4 asks to find the radius of a frisbee if the arc length is 14 inches and central angle is 60 degrees.

1. on formula sheet
Word Problems Radians
1) Find θ in radians if the arc length is 1.8 cm and radius is 1.2 cm.
circumference.What is the central angle subtended by the arc
(ie leave answer in terms of π).

2. 3) a) Calculate the exact length of a radius,if the length of
the arc is 16 cm and the central angle is 80°.
b) What is the area of the circle?

3. 4) An ant is crawling around the edge of a frisbee and gets stuck
Find the
14 inches and the central angle is 60°.