The equation for the circumference of a circle is [tex]c = 2 \pi r[/tex], 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 [tex]A = \pi r^{2} [/tex], 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:
[tex]A = \pi r^{2}\\
A = \pi (17)^{2} \\
A = 289 \pi [/tex]
The area of your circle is 289π.
