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
, where r is radius of perimeter.
Upon equating perimeter of semicircle formula with 25.71, we will get:
![\pi r+2r=25.71](https://img.qammunity.org/2021/formulas/mathematics/college/8ne3tq363uygwmnm1grm905omidsue8qnf.png)
![3.142r+2r=25.71](https://img.qammunity.org/2021/formulas/mathematics/college/20wtfv13gjrybs7ynhv63ais71151xgc2q.png)
![5.142r=25.71](https://img.qammunity.org/2021/formulas/mathematics/college/bma87lwglpcoxcbchxwwqtu7z7j3tznymp.png)
![(5.142r)/(5.142)=(25.71)/(5.142)](https://img.qammunity.org/2021/formulas/mathematics/college/qohthu6emss6miwe68bnxjh7uh5atkdpao.png)
![r=5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bzz35xl112z4q15xbqcsl48fdi17ili6w6.png)
Therefore, the radius of the semicircle is 5 cm.