Answer
$275.02^\circ$
Work Step by Step
$$l=2~ft\times\frac{12~in}{1~ft}=24~in$$ $$r=\frac{D}{2}=\frac{10}{2}=5~in$$ $$l=\frac{\theta}{360^\circ}\times2\pi r$$ $$24=\frac{\theta}{360^\circ}\times2\pi (5)$$ $$\theta=\frac{24(360^\circ)}{2\pi(5)}$$ $$\theta=275.02^\circ$$