Question

Area of a circle having a circumference of 34 pie

Answer 1

The equation for the circumference of a circle is
`c = 2 \pi r`, where c=circumference and r=radius of the circle.

Since you know c = 34π, plug that into the equation for the circumference of the circle and solve for r, the radius:
c = 2πr
34π = 2πr
34 = 2r
r = 17

The equation for the area of a circle is
`A = \pi r^(2)`, where A=area of the circle and r=radius of the circle.

Since you know the radius = 17, plug that into the equation for the area of a circle to find the area:

`A = \pi r^(2)\\ A = \pi (17)^(2) \\ A = 289 \pi`

The area of your circle is 289π.