Respuesta :

Answer:

[tex]Area = 65.94[/tex]

Step-by-step explanation:

I will assume that the shaded region is the fire pit

Given

[tex]R = 5[/tex]

[tex]r = 2[/tex]

Required

Determine the area of the fire pit

First, calculate the area of the big circle.

[tex]A_2 = \pi R^2[/tex]

Area of the small is:

[tex]A_1 = \pi r^2[/tex]

The area of the pit is:

[tex]Area = A_2 - A_1[/tex]

[tex]Area = \pi R^2 - \pi r^2[/tex]

[tex]Area = \pi (R^2 - r^2)[/tex]

[tex]Area = 3.14 (5^2 - 2^2)[/tex]

[tex]Area = 3.14 (25 - 4)[/tex]

[tex]Area = 3.14 * 21[/tex]

[tex]Area = 65.94[/tex]