Question

Points B and C lie on a circle with center O and radius r = 5 units. If the length of is 10.91 units, what is m in radians? Use the value = 3.1416, and round your answer to three decimal places.

Answer 1

Use the formula s=r∅
10.91=5∅
10.91/5=∅
2.182=∅

Answer 2

The piece of the circumference that's 10.91 long is (10.91/5) radiuses long.
So the central angle that encloses it is (10.91/5) = 2.182 radians.