The circumference of a circle is 14π m. What is the area, in square meters? Express your answer in terms of piπ.

1 answer

The formula for the circumference of a circle is given by 2πr, where r is the radius of the circle.

Given the circumference of the circle is 14π m, we can solve for the radius by setting 2πr = 14π.
Dividing both sides by 2π, we get r = 7.

The formula for the area of a circle is given by πr^2.
Substitute r=7 into the formula, we get the area is π * 7^2 = 49π square meters.

Therefore, the area of the circle is 49π square meters.