Question

Find the radian measure of the central angle of a circle of radius 11 yards that intercepts an arc of length 12 yards

Answer 1

The radian measure of a central angle is equal to the length of the intercepted arc divided by the radius of the circle. In this case, the intercepted arc has a length of 12 yards and the circle has a radius of 11 yards. So, the radian measure of the central angle is $\frac{12}{11}=\boxed{\frac{12}{11}}$ radians.