$\"\"$

Observe the diagram.

Radius of the circle is $\"\"$ in.

Length of the intercepted arc is $\"\"$ in.

If $\"\"$ is a central angle in a circle of radius $\"\"$ , then the length of the intercepted arc is given by $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Angle $\"\"$ in radians measure is $\"\"$ .

Convert $\"\"$ angle radians to degrees.

$\"\"$

Angle $\"\"$ in degree measure is $\"\"$ .

$\"\"$

Angle $\"\"$ in radians measure is $\"\"$ .

Angle $\"\"$ in degree measure is $\"\"$ .