## Trigonometry (11th Edition) Clone

Arc length s (for central angle $\theta$):$\quad s=r\theta$, where $\theta$ is in radians Converting between Degrees and Radians 1. Multiply a degree measure by $\displaystyle \frac{\pi}{180}$ radian and simplify to convert to radians. 2. Multiply a radian measure by $\displaystyle \frac{180^{\mathrm{o}}}{\pi}$ and simplify to convert to degrees. ------------------- The weight will be raised for the length of the arc of the pulley as it rotates through the given angle. The angle needs to be in radians $\displaystyle \theta=(71+\frac{50}{60})\cdot\frac{\pi}{180}$ $s=r\displaystyle \theta=9.27(71+\frac{50}{60})\cdot\frac{\pi}{180}\approx$11.6220602226 ... about 11.62 in.