The circumference of a circle is 56.52, What is the area of the circle?

Equation for circumference of a circle is = 2*pi*r
56.52=2*pi*r
56.52/2*pi=r
r= 9

Equation for area of a circle = pi*r^2
A= pi * (9)^2
A= 81pi or 254.34

C = 2 π r
r = 56.52 / (2 π )
r = 9
A = π r ²
A = 254.34units ²

C = circunference

r = radius

C = 2 π r

r = C/2π

r = 56.52/6.28

r = 9

Area = A = π r ²

A = 3.14 (9) ²

A = 3.14 x 81

A = 254.34

So Pi*diameter = cirumference.

Diameter = 2*radius

3.14*d = 56.52 (divide by pi)
d = 56.52/3.14

d = 18

radius = d/2 = 9

area = Pi*radius squared.

radius*radius = 9*9 = 81

area = Pi*81=3.14 *81 =254.34


OK!

well first you need to find the equation for the circumfrance of the circle. and find the radius. then use the raidus in the area equation and it is easy.

circumference is 2(pi)r = 56.52
so r = 56.52/2(pi) = 56.52X2X3.14 =9

area = (pi)(r)(r) = 3.14X9X9 =254.34

the circumference equation is 2(pi)r
so you would divide the C by [2(pi)] to get r (radius)
you would then plug the radius in the area equation for a circle [(pi)r^2] <(pie time radius squared)

use ya calculator.

to find radius: (2)(pi)(r)
C= 2pir
56.52 /(2*3.14) =r
9=r

to find area = (pi)(r)2
= 3.14*9*9
= 254.34cm/m2

Area of circle: πr^2 (π * r * r)

(56.52 ÷ π ÷ 2)^2 x π
= (56.52 ÷ 3.14 ÷ 2)^2 x 3.14
= (18 ÷ 2)^2 x 3.14
= 9^2 x 3.14
= 81 x 3.14
= 254.34

(56.52 ÷ π) is to find the diameter
(56.52 ÷ π ÷ 2) is to find the r (radius)
(56.52 ÷ π ÷ 2)^2 means r^2 (r * r)
(56.52 ÷ π ÷ 2)^2 x π means πr^2