Circles

This topic discusses how a circle is drawn using compass and pencil. It also explains a few terms related to circle, such as radius, diameter, interior and exterior, segment, arc and sector with the help of diagrams.

The topic states that if the angles subtended by the two chords of congruent circles at the corresponding centers are equal then the chords are equal.

From this topic, we will learn about the line perpendicular from the centre of a circle to a chord in brief with the help of some examples and figures. We will also learn to prove the various theorems based on this concept.

The topic explains the circle when it runs through three points. It states that if there are three points and the points are non-collinear, then one and only one circle can pass through those three points.

The topic states that equal chords of a circle are equidistant from the center While conversely, the chords of a circle which are equidistant from the center are equal.

This topic includes a theorem describing the angle subtended by an arc of a circle. It describes complete proof of the statement. Lastly, it covers some examples in which this theorem is used to solve them.

The topic defines acyclic quadrilateral. It can be defined as a quadrilateral whose vertices lie on a circle.