Solutions of Circles from Secondary School Mathematics-9

This topic discusses the concept of a circle. It highlights the centre as a fixed point in a circle and the circle's radius as a constant distance. We will also learn to denote a circle with a centre and a radius.

This topic describes essential terms related to a circle. It includes radius, circumference, chord, diameter, secant, tangent, etc., briefly described with the aid of figures.

This topic highlights the position of a point with respect to a circle. It explains the interior, exterior and circular region of a circle. The concepts of the arc of circles and concentric circles are also described.

This topic focuses on the degree measure of an arc. We will learn how the degree measure of a circle is 360 degrees and that of a semicircle is 180 degrees with the aid of diagrams.

In this topic, we will study the minor and major arcs of a circle. It explains that the length of an arc is the determining factor for terming the arcs as minor or major. We will learn about the segments, sectors, and quadrants of a circle.

In this topic, we will learn about the concept of congruence of circles. It explains the idea with the help of a theorem and its proof. We will understand that the radii will be the determining factor if the circles are to be congruent.

This topic describes the properties of a chord of a circle. We will understand these properties through various theorems and their proofs.

This topic highlights some results on congruent circles with related theorems and proofs. Some exercises are also provided here for practice.

This topic includes the results on angles subtended by arcs within a circle. Several identities or theorems and their proofs are explained here. We will apply these theorems in solving various questions.

This topic discusses the results of cyclic quadrilaterals. It explains the properties of a cyclic quadrilateral through theorems, the converse of a theorem, and proofs.