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Circle: A circle is the collection of all points in a cg, which are at a fixed distance from a fixed point in the plane. Diameter: It is the longest chord of the circle. Circumference: The length of complete circle is called its circumference.

Arc: A piece of circle class 9 maths ch 10 ex 10.4 answers two point is called arc. Segment: The region between a chord and either of its arcs is called a class 9 maths ch 10 ex 10.4 answers of circular region. Equal chords of a circle subtend equal angles at the centre. If the angles subtended by two chords of a circle at the centre are equal, the chords matjs also equal.

The perpendicular from the centre of a circle to a chord bisects the chord. The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. There is one and only one circle passing through three non-collinear points.

Because, between chord and arc a segment is formed. Sector is the region which is formed between radii class 9 maths ch 10 ex 10.4 answers arc. Similarly, BD is diameter of circle. So, these solutions are applicable for all these boards. All the questions are explained well using the theorems of circles and matgs proper examples.

In few questions some axioms of circles are also used as theorems. Study Material for What do understand by a circle? What are the components of a circle? What are the main Properties related to a circle? Important Theorems on Circles Class 9 Maths Chapter 10 Equal chords of a circle are equidistant from the centre and cords equidistant from the centre of a circle are equal.

If two arcs of a circle are mayhs, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs are congruent. Congruent arcs of a circle subtend equal mathss at the centre.

The angle subtended ansewrs an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. Angles in the same segment of a circle are equal. Angle in a semi-circle is mzths right angle. The sum of either pair of opposite angles of a cyclic quadrilateral is and matsh the sum of a pair of opposite angles of a quadrilateral isthen the quadrilateral is cyclic.

The centre of a circle lies in interior of the circle. A circle has only finite number of equal chords.

True or False? Because, there are infinite number of equal chords in a circle. Sector is the region between the chord and answer corresponding arc. Is it true or false?

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. AC is diameter of circle. Hence, points A, B, C and D lie on the same circle.

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You should know:

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A. NCERT Solutions for Class 9 Maths Chapter 10 � Circles Exercise consists of six questions in total. Answers of all these questions are provided accurately in the solutions which are available on Vedantu website and app in PDF format. Any Class 9 student can download the Maths NCERT Solutions for self-study purpose as per their convenience. Ex Class 9 Maths Question 4. If a line intersects two concentric circles (circles with the same centre) with centre 0 at A, B, C and D, prove that AB = CD (see figure). Solution: Given: Two circles with the common centre O. A line D intersects the outer circle at A and D and the inner circle at B and C. To Prove: AB = CD. Construction. Important Theorems on Circles Class 9 Maths Chapter Equal chords of a circle are equidistant from the centre and cords equidistant from the centre of a circle are equal. If two arcs of a circle are congruent, then their corresponding chords are equal and conversely if two chords of a circle are equal, then their corresponding arcs are congruent.

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