Answer:
The arc length of the semicircle is: [tex]11 \pi[/tex], which is approximately 34.5575
Step-by-step explanation:
Recall that the length of a circumference of radius R is given by:
[tex]length = 2\,\pi \,R[/tex]
therefore, the arc length of a semicircle (half of the circle) would be given by half of the previous expression:
[tex]length\,\,of \,\,semicircle= \pi\,R[/tex]
So, in our particular case of radius 11, the formula for the arc length of the semicircle becomes:
[tex]length\,\,of \,\,semicircle= \pi\,R\\length\,\,of \,\,semicircle= 11 \pi\\length\,\,of \,\,semicircle= 34.5575[/tex]
