Question

Find the area and perimeter

Answer 1

Answer:

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

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

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

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

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

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

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

$A=\pi (1,204)$

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