Answer
If the land is circular, the radius is $~~549.8~m$
If the land is a $35^{\circ}$ sector, the radius of the circle is $~~1763.6~m$
Work Step by Step
Let's suppose that the land is a circle. We can find the radius $r$:
$A = 950,000~m^2$
$\pi~r^2 = 950,000~m^2$
$r = \sqrt{\frac{950,000~m^2}{\pi}}$
$r = 549.8~m$
If the land is circular, the radius is $~~549.8~m$
Let's suppose the land is a $35^{\circ}$ sector. Then $\frac{35^{\circ}}{360^{\circ}}\times A = 950,000~m^2,~~$ where $A$ is the area of the whole circle.
We can find the radius:
$\frac{35^{\circ}}{360^{\circ}}\pi~r^2 = 950,000~m^2$
$r^2 = \frac{(360^{\circ})(950,000~m^2)}{(35^{\circ})(\pi)}$
$r = \sqrt{\frac{(360^{\circ})(950,000~m^2)}{(35^{\circ})(\pi)}}$
$r = 1763.6~m$
If the land is a $35^{\circ}$ sector, the radius of the circle is $~~1763.6~m$
