एक वृत्त के चाप द्वारा अंतरित कोण

We know that the end points of a chord other than the diameter of a circle divides it into two arcs, namely the major arc and the minor arc. In this article, we will discuss the theorem related to the angle subtended by an arc of a circle and its proof with complete explanation.

Fig. 1

If two chords of a circle are equal, then their corresponding arcs are congruent and conversely, if two arcs are congruent, then their corresponding chords are equal.

Also the angle subtended by an arc at the centre

is defined to be angle subtended by the corresponding

chord at the centre in the sense that the minor arc

subtends the angle and the major arc subtends the

reflex angle. Therefore, in Fig 2, the angle

subtended by the minor arc PQ at O is ∠POQ and

the angle subtended b