CBSE Class 9 Maths Circles
Introduction to Circles
Chord is a line segment joining any two points on the circle and divides the circle into two parts, each part is called segment.
A continuous piece of a circle is called an Arc of the circle. The region between an arc and the two radii joining the centre to the end points of the arc is called a sector.
Angle Subtended by The Chord
If two chords of a circle subtend equal angles at the centre, then the chords are equal.
These properties are valid in congruent circles also.
Angle subtended by a chord at the centre is double the angle subtended by it at any point on the circumference.
Perpendicular From Centre to Chord
Line segment joining the centre of a circle to the midpoint of a chord is perpendicular to the chord.
The perpendicular bisectors of two chords of a circle intersect at its centre.
There is one and only one circle which passes through 3 non-collinear points.
Properties of Equal Chords
Equal chords are equidistant from the centre.
Chords that are equidistant from the centre are equal in length.
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