Answer: 7.9 cm
Step-by-step 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 :-
[tex]perimeter =2\pi r[/tex]
Then the perimeter of 1/4 of the circle is given by :-
[tex]perimeter =\frac{1}{4}\times2\pi r[/tex]
[tex]\\\Rightarrow\ perimeter =\frac{1}{4}\times2(3.14)\times5.........[since\ \pi=3.14]\\\\\Rightarrow\perimeter=7.85\approx7.9\ cm[/tex]
Hence, the perimeter of the given figure = 7.9 cm
