The area of a circle is 49π m². What is the circumference, in meters? Express your answer in terms of piπ.
To find the circumference of the circle, we can use the formula:
Circumference = 2πr
First, we need to find the radius of the circle. The formula for the area of a circle is given by:
Area = πr²
Given that the area is 49π m², we can set up the following equation:
49π = πr²
r² = 49
r = 7
Now we can plug in the radius into the formula for the circumference:
Circumference = 2π(7) = 14π
Therefore, the circumference of the circle is 14π meters.