RS Aggarwal Class-9 Chord Properties of Circle ICSE Maths Solutions

RS Aggarwal Class-9 Chord Properties of Circle ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-13. We provide step by step Solutions of Exercise / lesson-13 Chord Properties of Circle for ICSE Class-9 RS Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-13 to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics.

Board	ICSE
Publications	Goyal brothers Prakshan
Subject	Maths
Class	9th
Chapter-13	Chord Properties of Circle
Writer	RS Aggrawal
Book Name	Foundation
Topics	Solution of Exe-13, to develop skill and confidence
Academic Session	2021-2022

RS Aggarwal Class-9 Chord Properties of Circle ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-13

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Notes on Chord Properties

Exercise 13

 

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Notes on Chord Properties of Circle

Some of the important properties of the circle are as follows:

• The circles are said to be congruent if they have equal radii
• The diameter of a circle is the longest chord of a circle
• Equal chords and equal circles have equal circumference
• The radius drawn a perpendicular to the chord bisects the chord
• Circles having different radius are similar
• A circle can circumscribe a rectangle, trapezium, triangle, square, kite
• A circle can be inscribed inside a square, triangle and kite
• The chords that are equidistant from the centre are equal in length
• The distance from the centre of the circle to the longest chord (diameter) is zero
• The perpendicular distance from the centre of the circle decreases when the length of the chord increases

Chord of a Circle Definition

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

Theorem on Chord Properties

Theorem 1: Equal Chords Equal Angles Theorem

Statement: Chords which are equal in length subtend equal angles at the center of the circle.

Theorem 2: Equal Chords Equidistant from Center Theorem

Statement: Equal chords of a circle are equidistant from the center of the circle.

Theorem 3: “Chords of a circle, which are at equal distances from the centre are equal in length is also true.”

Theorem 4: “A straight line passing through the centre of a circle to bisect a chord is perpendicular to the chord.”

Theorem 5 Circle Geometry: Converse Rule

A line segment that passes through the circle’s centre bisects the chord will be perpendicular to the chord.

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RS Aggarwal Class-9 Chord Properties of Circle ICSE Mathematics Solutions Goyal Brothers Prakashan Exercise-13

Page 173-176

Question 1:

A chord of length 16 cm is …………….. centre of the circle.

Question 2:

A circle of radius 2.5 cm …………. of the circle.

Question 3:

The radius of a circle is 40 cm ……………… length of the chord.

Question 4:

……………………….

……………………….

……………………….

Question 29:

In the given figure ……….. circle with centre O.

Question 30:

In an equilateral triangle, prove that ………….. triangle coincide.

 

–: End of RS Aggarwal Class-9 Chord Properties of Circle Solutions  :–

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