Answer:
The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Step-by-step explanation:
Given : A quarter of a circle with radius labeled 2 in.
Quarter of circle means fourth part of a circle (as shown in image by shaded part).
We have to find the perimeter of this shaded quarter of circle.
Perimeter is the sum of the dimension of the given figure.
Perimeter of circle is [tex]2\pi r[/tex]
Since, we are given Quarter circle so its perimeter [tex]\frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r[/tex]
Perimeter of given figure = [tex]\frac{1}{2} \pi r+r+r[/tex]
Perimeter of given figure = [tex]\frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14[/tex]
Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
