We are asked to determine the angle of the given sector of a circle. To do that we will use the following relationship:

Where:

Now, we solve for the angle by dividing both sides by "r":

Now, we substitute the values:

Solving the operations:

This angle is in radians. To convert to degrees we will use the following conversion factor:

Now, we multiply by the conversion factor:

We will use 3.14 for pi:

Solving the operations:

Therefore, the angle is approximately 81 degrees.