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A circle is defined as a set of Ch Word Class 10 Maths 9 Theorems all points in a plane which are equally spaced from a fixed point. The fixed point is called Ch 10 Maths Class 9 Theorems Word the centre of the circle and the distance between any point on the circle and its centre is called the radius of the circle.

Based on the positions and their properties a circle has different parts. The important parts of a circle are explained below in.

Arc - It is basically the connected curve of a circle. Sector - A region ch 10 maths class 9 theorems word by two radii and an arc. Points to remember that segments do not contain the centre. Centre - Midpoint of a circle is known as the centre. Chord - It is a line segment that joins two points on the circle. Endpoints of the chord lie on the circle. Diameter Ch 10 Maths Class 9 Theorems Word - It is ch 10 maths class 9 theorems word line segment having both the endpoints on the circle and is the largest chord of the circle.

Radius - It is the line segment connecting Ch 10 Maths Class 9 Theorems Word the centre of amths circle to any point on Class Word Theorems 10 9 Ch Maths Ch 10 Maths Class 9 Theorems Word the circle. Secant - It is a straight line Ch 10 Maths Class 9 Theorems Word which cuts the circle at two points. It is also known as an extended chord. Tangent - It Ch 10 Maths Class 9 Theorems Word is a straight line touching the circle at a single point.

A line segment connecting the centre of a circle to any point on the circle itself is known as the radius of the circle. The Ch 10 Maths Class 9 Theorems Word radius is denoted by R or r. Diameter is defined as the longest chord of the circle. It is twice the length of radius i. The radius of the circle can be derived ch 10 maths class 9 theorems word the diameter of the circle. All Ch 10 Maths Class 9 Theorems Word the important point related to the circle are shown below in the diagram.

The important basic properties of the circle mats as follows:. The outer line of Ch 10 Maths Class 9 Theorems Word a circle which is circumference is at equidistant from Ch 10 Maths Class 9 Theorems Word the centre. The diameter of the circle divides the Ch 10 Maths Class 9 Theorems Word circle into two equal parts. Two circles are said to Ch 6 Maths Class 10 Theorems Datasheet be congruent to each other if they have equal radii. Circles which are different in size or Ch 10 Maths Class 9 Theorems Word have different radii are known as similar circles.

The diameter is the largest chord of the circle and is double the radius. A tangent to a circle is a line which touches the circle exactly at one point.

For every point on the circle, There is a unique tangent for every point on the Ch 10 Maths Class 9 Theorems Word circle passing claes it. The tangent to the circle at any point is the perpendicular to the radius of the circle that passes through the point of contact. The mayhs of the tangent to the circle Ch 10 Maths Class 9 Theorems Word is defined as the segment of the tangent from the external point P to the point of tangency I with the circle. In the given diagram below, PI is ch 10 maths class 9 theorems word length of a tangent.

Two tangents of equal length Ch 10 Maths Class 9 Theorems Word can be drawn from an external point of a circle. The space occupied by the shape theirems is known as an area of the circle. The area of a circle is given by the formula. The circumference of a circle is the length of the line around the edges of the circle.

Circumference of a circle is calculated by multiplying pi with 2 times radius. Mathematically can be expressed as. Equal chord of a circle subtends an equal angle at the centre. The perpendicular to a chord bisects the chord if the line drawn from the centre of the ch 10 maths class 9 theorems word. Equal chords Ch 10 Maths Class 9 Theorems Word of a circle are equidistant i.

The measure of angles subtended to any point on the circumference of Ch 10 Maths Class 9 Theorems Word thorems circle from the same arc is equal to half of Ncert Solutions For Class 8 Maths Ch 10 Ex 10.3 Word the angle subtended at the centre by the same arc. In a cyclic quadrilateral, the opposite angles are supplementary.

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NCERT Solutions for Class 9 Maths Chapter 10 Circles are provided here in PDF format, which can be downloaded for free. The Solutions for the chapter Circles have been designed by our expert teachers Theorems Maths Class Word 9 10 Ch as per the CBSE curriculum (), with percent accuracy. Theorem Class 9=====If a line segment joining two points subtends equal angles at two other points lying on the same side of the line con. NCERT Solutions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Ch 10 Maths Class 9 Theorems Word provides comprehensive solutions for all the questions in the NCERT textbook. To excel in the board examinations, NCERT solutions will increase the level of confidence among the students, as the concepts are clearly explained and structured. The solutions are prepared and reviewed by our subject matter .



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