Question

In circle D with mLCDE = 122 and CD = 6 units, find the length of arc CE. Round to the nearest hundredth. E

Answer 1

We are asked to determine the arc length of a circle segment. To do that we will use the following formula:

`S=r\theta`

Where "S" is the arclength, "r" is the radius and "theta" is the angle. Replacing the given values:

`S=(6)(122)*(\pi)/(180)`

We multiply by pí over 180 to convert the angle to radians. Solving the operations:

`S=12.78`

Therfore, the length of CE is 12.78 units