Question

Find the length of arc RS. Use 3.14 for a.Round to the nearest tenth.6.48 in7391500 650R[2 lin

Answer 1

To determine the length of an arc given a radius and a central angle, the formula is:

`ArcLength=(\theta)/(180)*\pi r`

The measure of the central angle for Arc RS is 150°. The radius of the circle is 6.48 inches.

Let's plug those values into the formula above.

`ArcLength=(150)/(180)*3.14*6.48in\text{ }`

Then, solve.

1. Divide 150 by 180 first.

`ArcLength=0.8333333*3.14*6.48in`

2. Multiply all three terms.

`ArcLength=16.956in\approx17.0in`

Hence, the length of Arc RS is 17.0 inches.