Question

Find the arc length of a semicircle if the radius is 5.
Please help me ppl, thx

Answer 1

Answer:

The arc length of the semicircle is: 5

which is approximately 34.55

Step-by-step explanation:

Recall that the length of a circumference of radius R is given by:

length = 2\,\pi \,Rlength=2πR

therefore, the arc length of a semicircle (half of the circle) would be given by half of the previous expression:

length\,\,of \,\,semicircle= \pi\,Rlengthofsemicircle=πR

So, in our particular case of radius 11, the formula for the arc length of the semicircle becomes:

\begin{gathered}length\,\,of \,\,semicircle= \pi\,R\\length\,\,of \,\,semicircle= 11 \pi\\length\,\,of \,\,semicircle= 34.5575\end{gathered}

lengthofsemicircle=πR

lengthofsemicircle=5

lengthofsemicircle=34.5575