Problem 14

Question

A circular plate has a circumference of 8 pi  inches



What is the area of the plate?

Answer 1

The circumference of a circle is

 

C = 2πr

 

 

Since we know the circumference, we can plug it into the equation.

 

8π = 2πr

 

r = 4

 

 

The area of a circle is

 

A = πr²

 

 

Plug in the value of r that we found from the circumference equation to find the area.

 

A = π(4)²

 

A = 16π 

Answer 2

Circumference is 

c = 2πr

where r is the radius

 

so use your circumference to find the radius

 

next, since you know the radius, you can find the area as

a = πr²

and then you will have your area!