## Trigonometry (11th Edition) Clone

We can convert the angle to radians: $\theta = (42.0^{\circ})(\frac{\pi~rad}{180^{\circ}}) = 0.733~rad$ Since the chord is approximately equal to the arc length, the we can use the chord length $d$ to find the approximate value of the radius: $d \approx \theta ~r$ $r \approx \frac{d}{\theta}$ $r \approx \frac{100~ft}{0.733~rad}$ $r \approx 73.3~ft$ The radius of the curve is approximately 73.3 feet