We have been given that the perimeter of a semicircle is 25.71 cm. We are asked to find the value of the radius.
We know that perimeter of a semicircle is [tex]\pi r+2r[/tex], where r is radius of perimeter.
Upon equating perimeter of semicircle formula with 25.71, we will get:
[tex]\pi r+2r=25.71[/tex]
[tex]3.142r+2r=25.71[/tex]
[tex]5.142r=25.71[/tex]
[tex]\frac{5.142r}{5.142}=\frac{25.71}{5.142}[/tex]
[tex]r=5[/tex]
Therefore, the radius of the semicircle is 5 cm.
