Question

Circumference of a circle is 18 pi meters what is the area in square meters? Express your answer in terms of pi

Answer 1

The formula for the circumference of a circle is:

C = 2πr

Given that the circumference of the circle is 18π meters, we can equate it to the formula:

18π = 2πr

Dividing both sides of the equation by 2π:

9 = r

Therefore, the radius of the circle is 9 meters.

To find the area of the circle, we can use the formula:

A = πr^2

Substituting the value of the radius:

A = π(9)^2

Simplifying:

A = π(81)

The area of the circle is 81π square meters.

Answer 2

Area = 81pi square meters

Explanation:

Circumference is the distance around the outside of a circle.

C = pi • d

The circumference is given in your problem.

18pi = pi • d

divide both sides by pi.

18 = d

The diameter is 18. The radius is half the diameter, 18/2 is 9. The radius is 9 meters.

Area is given by:

Area = pi • r^2

= pi • 9^2

= pi • 81

= 81pi sq m

The area is 81pi square meters.