The circumference of a circle is 18π m. What is the area, in square meters? Express your answer in terms of \piπ.

Respuesta :

The area of the circle in terms of π is 81π m².

How to find area of a circle?

The circumference of the circle is 18π meters. The circumference of a circle is the distance around the outside of the circle.

Therefore, the area of the circle can be calculated as follows:

circumference of a circle = 2πr

where

  • r = radius

Hence, let's find the radius of the circle

18π = 2πr

divide both sides by 2π

r = 18π / 2π

r = 9 m

Therefore,

area of the circle = πr²

area of the circle = π × 9²

area of the circle = 81π meters²

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