Answer:
Part 1) The perimeter is [tex]P=172\pi\ ft[/tex]
Part 2) The area is [tex]A=1,204\pi\ ft^2[/tex]
Step-by-step explanation:
Part 1) Find the perimeter
we know that
The perimeter is equal to the circumference of the exterior circle plus the circumference of the interior circle
so
[tex]P=2\pi (50)+2\pi (36)[/tex]
[tex]P=2\pi (86)\\P=172\pi\ ft[/tex]
Part 2) Find the area
we know that
The area of the figure is equal to the area of the larger circle minus the area of the smaller circle
so
[tex]A=\pi (50)^2-\pi (36)^2[/tex]
[tex]A=\pi (1,204)[/tex]
[tex]A=1,204\pi\ ft^2[/tex]
