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(\pi)/(180\degree)=(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=(61\pi)/(90)\cdot6=12.78\text{ units}`