Solution:
Given that,
The figure is 1/4 of a circle of 2 inches on side
To find: Perimeter of figure
The perimeter (p) of a quadrant is given as:
[tex]p = 0.5 \pi r+2r[/tex]
Where, r is the radius
Substitute r = 2
[tex]p = 0.5 \times 3.14 \times 2 + 2 \times 2\\\\p = 3.14 + 4\\\\p = 7.14[/tex]
Thus perimeter of figure is 7.14 inches