EXPLANATION
The length of the arc is given by the following relationsip:
[tex]L\text{ength\_arc}=\frac{given_{\text{ }}\text{arc angle}}{360}2\pi r[/tex]
Replacing terms:
[tex]\text{Length}_{\text{arc}}=\frac{315}{360}\cdot2\cdot\pi\cdot11[/tex]
Simplifying the fraction:
[tex]\text{Length}_{\text{arc}}=0.875\cdot2\cdot\pi\cdot11[/tex]
Multiplying terms:
[tex]\text{Length}_{\text{arc}}=19.25\pi[/tex]
The length of the arc is 19.25π
