Radius of a Circle Given a Chord

In a circle with center O, a chord AB is drawn where the length of AB is 12 units. The distance from the center O to the chord AB is 5 units. Determine the radius of the circle.

Recall that the perpendicular distance from the center of the circle to the chord bisects the chord.

Let the radius of the circle be denoted as $r$.

Using the Pythagorean Theorem, you can set up an equation involving $r$. The segments AO and OB can be expressed in terms of $r$ as follows:

$$ AO = OB = r $$

Utilize the segment from O to the midpoint of AB to establish the relationship between $r$, the distance to the chord, and half the length of the chord.