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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 are either on the circle or lie inside the circle is called byjus class 9 maths circles journal 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 byjus class 9 maths circles journal 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 byjus class 9 maths circles journal equal angles at two other points lying on the same side of the line containing the line segment, the four points lie on a circle i.

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NCERT Solutions For Class 9 Maths Chapter Circles (Page No: ) Exercise: 1. Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection. Solution: Consider the following diagram. In ?POO' and ?QOO' OP = OQ O'P = O'Q OO' = OO' (Radius of circle 1) (Radius of circle 2) (Common arm). NCERT Solutions For Class 9 Maths Chapter Circles Exercise: (Page No: ) 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Solution: To recall, a circle is a collection of points whose every point is equidistant from its centre. NCERT Solutions For Class 9 Maths Chapter Circles AC = m So, the distance between Reshma and Mandip Byjus Class 9 Maths Circles Inc is m. 6. A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a .

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