Question

In circle Q with m PQR= 42 and PQ = 7 units, find the length of arc PR. Round to the nearest hundredth. R Р Q

Answer 1

For this exercise you need to use the following formula:

$ArcLength=2\pi r(\frac{C}{360})$

Where "C" is the measure of the Central angle in degrees.

In this case you know that:

$\begin{gathered} C=m\angle PQR=42 \\ r=PQ=7units \end{gathered}$

Knowing these values you can substitute them into the equation:

$ArcLength=2\pi(7units)(\frac{42}{360})$

Finally, evaluating, you get that the answer is:

$ArcLength\approx5.13units$