Respuesta :

The perimeter of figure is 7.14 inches

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