Question

Jack wants to plant a border of flowers in the shape of an arc along the edge of a circular walkway. of the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians, what is the length, in yards, of the border

Answer 1

To solve this problem you must apply the proccedure shown below:

 1. You must apply the formula for calculate the arc length, which is:

 arc length=(angle)(radius)

 2- As you can see, the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:

 The angle is:

 1 1/2 radians=1.5 radians

 3. When you susbtitute these values into the formula, you obtain:

 arc length=(1.5 radians)(5 yards)
 arc lenght=7.5 yards

 4. Therefore, the answer is: 7.5 yards.