If a diameter intersects a chord of a circle at a perpendicular then the chord is bisected.
<h3>What is the relation between the chord and diameter of a circle?</h3>
The segments of a circle whose endpoints are on its perimeter are called chords.
A circle's diameter is the chord that passes across its center.
The circle's longest chord equals its diameter.
Any line that is perpendicular to a chord on the circle cuts it in half and goes through the center.
The solution to the problem:
A circle's chord is intersected perpendicularly by its diameter, which also passes through the center of the circle. The chord and diameter are perpendicular. Any line that is perpendicular to a chord on the circle and passes through its center divides it. The chord is divided equally by the diameter.
