Question

find the length of arc CE. Round to the nearest hundredth.

Answer 1

We go from degrees to radians:

$122\degree=122\degree\cdot\frac{\pi}{180\degree}=\frac{61\pi}{90}$

Now, the length of arc CE is:

$CE=m\measuredangle CDE\cdot CD$

Where CD = 6 units. Using the angle in radians:

$CE=\frac{61\pi}{90}\cdot6=12.78\text{ units}$