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}}=(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