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NCERT Solutions Class 9 Maths Chapter 10 Circles Free PDF Download

Note: i Diameter is the longest chord in a circle. Note: i A diameter of a circle divides it into two equal arcs, each of which is called a semicircle. The region consisting of all points lying on the circumference of a circle and inside it is called the interior of the circle. The region consisting of all points lying outside a circle is called the exterior of the circle. The region consisting of all points which class 9th ch 10 maths km either on the circle or lie inside the circle is called the circular region.

Fundamentals of Circles. Statement: If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal. Statement: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. Statement: There is one and only one circle passing through three given non-collinear points.

Statement: Equal chords of a circle or of congruent circles are equidistant from the centre or centres. Given: AB and CD are two equal chords of a circle. Statement: The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. In fig. Statement: If a line segment joining two points subtends equal angles at two other class 9th ch 10 maths km lying on the same side of the line containing the line segment, the four points lie on a circle i.

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Segment: The region between a chord and either of its arcs is called a segment of circular region. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. All the questions are explained well using the theorems of circles and giving proper examples. Because, between chord and arc a segment is formed. Solution: We have two congruent circles such that they intersect each other at A and B. Let r cm be the radius of the circle.

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