There exist several geometric properties and theorems about circles. We have studied circle theorems and tangent to a circle. In this sub-topic, we will learn about alternate segment.

The segment of a circle is the region between a chord and the corresponding arc of the circle. When a chord is drawn, it creates a major segment and a minor segment in the circle. This is what the alternate segment theorem states.

Theorem 1

For any circle, the angle between a tangent and a chord through the point of contact of the tangent is equal to the angle made by the chord in the alternate segment.