Question

Find the area and perimeter

Answer 1

Part 1) The perimeter is
`P=172\pi\ ft`

Part 2) The area is
`A=1,204\pi\ ft^2`

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

`P=2\pi (50)+2\pi (36)`

`P=2\pi (86)\\P=172\pi\ ft`

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

`A=\pi (50)^2-\pi (36)^2`

`A=\pi (1,204)`

`A=1,204\pi\ ft^2`