Question

Problem 5 and 6. Find the length of each arc. Write answers in terms of π.

Answer 1

EXPLANATION

The length of the arc is given by the following relationsip:

$L\text{ength\_arc}=\frac{given_{\text{ }}\text{arc angle}}{360}2\pi r$

Replacing terms:

$\text{Length}_{\text{arc}}=\frac{315}{360}\cdot2\cdot\pi\cdot11$

Simplifying the fraction:

$\text{Length}_{\text{arc}}=0.875\cdot2\cdot\pi\cdot11$

Multiplying terms:

$\text{Length}_{\text{arc}}=19.25\pi$

The length of the arc is 19.25π