The circumference of a circle is 17π m. What is the area, in square meters? Express your answer in terms of piπ.

Answer 1

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, C = 17π m, so we have:

17π = 2πr

Dividing both sides by 2π, we get:

r = 17/2

The formula for the area of a circle is A = πr^2. Substituting in the value of r, we get:

A = π(17/2)^2
A = π(289/4)
A = 289π/4

Therefore, the area of the circle is 289π/4 square meters.