Question

A circular plate has circumference 32 inches. What is the area of this​ plate? Use 3.14 for pi. The area of this plate is about nothing square inches.

Answer 1

Answer: The area of the plate is 81.67 in^2

Explanation:

If we have a circle of radius R, the area of this circle can be computed as:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

and we know that this is equal to 32 in, then:

32in = 2*pi*R

Now we can isolate R, and we get:

32in/(2*pi) = R

32in/(2*3.14) = R = 5.1 in

Then the area of the plate is:

A = 3.14*(5.1in)^2 = 81.67 in^2