Answer
radius of the circle $\approx 28.6 \space ft$
Work Step by Step
$$r \theta = s$$ $$r = \frac{s}{\theta}$$
r = radius
s = length of arc = 25 ft
$\theta = $ angle = 50$^o$
In order to use this formula, the angle must be converted to radians, which is done by multiplying the angle in degrees by $\frac{\pi}{180}$.
$$\theta = 50^o \times \frac{\pi}{180} = \frac{5\pi}{18} $$
$$r = \frac{25 \space ft}{ \frac{5\pi}{18}} \approx 28.6 \space ft$$
