Question

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 of the curved border?A. 7.5 ydsB. 0.5 ydsC. 5 ydsD. 2 yds

Answer 1

For this problem we will use the formula for the arc length a circle with radius r and with a given angle θ in radians:

`arclength=\theta r`

Substituting θ=1.5 radians and r=5yd we get:

`\theta r=1.5\cdot5yd=7.5yd`