The formula to calculate the central angle is:
\[ C = \frac{L}{r} \]
where \( C \) is the central angle in radians, \( L \) is the arc length, and \( r \) is the radius.
To convert to degrees, multiply the result by 57.2958.
A central angle is an angle contained between a radius and an arc length. In other words, it is the angle of rotation the radius needs to move in order to produce the given arc length.
Let's assume we have the following values:
Step 1: Divide the arc length by the radius:
\[ C = \frac{10}{5} = 2 \text{ radians} \]
Step 2: Convert to degrees:
\[ 2 \times 57.2958 = 114.59 \text{ degrees} \]
Therefore, the Central Angle is \( C = 2 \text{ radians} \) or \( 114.59 \text{ degrees} \).
