# Circles class 9 Notes Mathematics

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## CBSE Guide Circles class 9 Notes

CBSE guide notes are the comprehensive notes which covers the latest syllabus of CBSE and NCERT. It includes all the topics given in NCERT class 9 Mathematics text book. Users can download CBSE guide quick revision notes from myCBSEguide mobile app and my CBSE guide website.

## 9 Mathematics notes Chapter 10 Circles

Download CBSE class 9th revision notes for Chapter 10 Circles in PDF format for free. Download revision notes for Circles class 9 Notes and score high in exams. These are the Circles class 9 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter in minutes. Revising notes in exam days is on of the best tips recommended by teachers during exam days.

CBSE Class 09 Mathematics
Revison Notes
CHAPTER 10
CIRCLES

• Circles and its Related Terms : A Review
• Angle Subtended by the chord at a Point
• Perpendicular from the centre to a Chord
• Circle through three given points.
• Equal Chords and their distances from the Centre
• Angle Subtended by an Arc of a Circle
• Circle – Circle is a locus of such points which are at equidistant from a fixed point in a plane. Also, a circle is the colleciton of those points in a plane that are at a given constant distance from a given fixed-point in the plane. The fixed point is called the centre and the given distance is called the radius of the circle.
• Concentric circles – Circles having same centre and different radii area called concentric circles.
• Arc – A continuous piece of a circle is called an arc of the circle.
• Chord – A line segment joining any two points on a circle is called the chord of the circle.
• A chord passing through the centre of a circle is called the diameter of the circle.
• A diameter of a circle divides it into two equal parts which are arcs. Each of these two arcs is called a semi-circle.
• Two arcs of a circle  are called congruent if they have the same degree of  measure.
• If two arcs are equal,then their corresponding chords are also equal.
• The perpendicular drawn from centre to  the chord of circle bisects the chord and vice-versa.
• There is one and only one circle passing through three non-collinear points.
• Equal chords of circle are equidistant from centre.
• If two circles intersect in two points, then the line through the centres is perpendicular to the common chord.
• The angle subtended by an arc at the centre of circle is twice the angle  subtended at remaining part of circumference.
• Any two angles in the same segment of the circle are equal.
• Equal chords of a circle subtend equal angle at the centre.
• Out of two chords of a circle, the larger chord is nearer to the centre.
• Angle of semicircle is right angle.
• Equal chords of circle subtend equal angle at the centre of circle.
• If  all the vertices of a quadrilateral lies on the circumference of circle, then quadrilateral  is called cyclic.
• In a cyclic quadrilateral the sum of opposite angles is ${180^o}$ and vice-versa.
• The exterior angle of a cyclic quadrilateral is equal to the  interior opposite angle.