Answer: 7.9 cm
Explanation:
Given : This figure is 1/4 of a circle.
The radius of the figure = 5 inch
We know that the perimeter of the circle is given by :-

Then the perimeter of 1/4 of the circle is given by :-

![\\\Rightarrow\ perimeter =(1)/(4)*2(3.14)*5.........[since\ \pi=3.14]\\\\\Rightarrow\perimeter=7.85\approx7.9\ cm](https://img.qammunity.org/2018/formulas/mathematics/middle-school/v8rd92cevgm0qmghxbxkok572d5a85jsut.png)
Hence, the perimeter of the given figure = 7.9 cm