Arc Length and Sector Area Using Radians

A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian and radius AB = 20 feet. What is the length of arc AC, in feet?

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. If the circle has a radius of 5 yards and the angle subtended by the arc measures 1.5 radians, what is the length, in yards, of the border (arc length)?

In a circle with a diameter of 24 cm, a central angle of  $$\frac{4\pi}{3}$$  radians intercepts an arc. The length of the arc, in terms of  $$\pi$$ , is

In the diagram below, the circle shown has radius 10. Angle B intercepts an arc with a length of  $$2\pi$$ . What is the measure of angle B, in radians?

In circle O, the length of radius  is 9 centimeters and the area of sector AOB  is  $$\frac{27\pi}{2}$$  square centimeters. The measure of  in radians is          

Match the answers to the following problems.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees.  What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

FIND THE ARC LENGTH OF THE BOLDED ARC

s=r\theta is the formula for

Find the arc length.  Leave your answer in terms of π.