Question

The circumference of a circle is 5π cm. What is the area of the circle? ​ 25π ​ cm² ​ 10π ​ cm² ​ 6.25π ​ cm² ​ 2.5π ​ cm²

Answer 1

Area of the circle = 6.25π cm^2

Explanation:

The circumference of a circle is 5π cm. we need to find the area of the circle

Formula for the circumference of a circle = 2πr

r is the radius of the circle

2πr= 5π

Divide by π on both sides

2r= 5

divide by 'r' on both sides

r= 5/2

Area of the circle = πr^2

r= 5/2

Area of the circle = π(5/2)^2= 6.25π cm^2

Answer 2

6.25π ​ cm²

Explanation:

So circumference is pi x d or 2 x pi x r

Area = pi x r²

5pi = pi x d (divide by pi on both sides)

d = 5 or r = 2.5

2) A = pi x 2.5²

3) A = 6.25pi cm²

Hope this helps! :D