Question

Find the length of arc RS. Use 3.14 for a.Round to the nearest tenth.P6.48 inS7391500 650R[ ? JinEnter

Answer 1

SOLUTION

We want to solve the question below

We are told to find the length of arc RS.

We will use the formula for length of an arc that says

$\begin{gathered} L=\frac{\theta}{360\degree}\times2\pi r \\ where\text{ L = length of arc} \\ \theta=\text{ angle subtended at the center of arc RS = 150}\degree \\ \pi=3.14 \\ r=\text{ radius of the circle = 6.48 in} \end{gathered}$

Substituting the values into the formula, we have

$\begin{gathered} L=\frac{150}{360}\times2\times3.14\times6.48 \\ L=\frac{15\times2\times3.14\times6.48}{36} \\ L=\frac{610.416}{36} \\ L=16.956 \\ L=17.0\text{ to the nearest tenth } \end{gathered}$

Hence the answer is 17.0 to the nearest tenth