Length of chord formula class 10

Chord of a circle is a line segment that links two locations on the circumference of the circle. A circle is a two-dimensional shape where a set of all points are equally spaced from a fixed point in a plane.

The chord of any circle is an important term. It is defined as the line segment joining any two points on the circumference of the circle, not passing through its centre. Therefore, the diameter is the longest chord of a given circle, as it passes through the centre of the circle. Calculation of the length of the chord is sometimes very important in mathematics. This article will explain the chord length formula with examples. Let us learn it!

Length of chord formula class 10

Chord of a circle is the line that joints any two points on the circumference of the circle. A circle can have various chords and the largest chord of a circle is the diameter of the circle. We can easily calculate the length of the chord using the Chord Length Formula. As the name suggests it is the formula for calculating the length of the chord in a circle in Geometry. In this article, we will learn about the definition of the chord, theorems of the chords and the circle, explain its properties, and the formulas to calculate the length of the chord using different methods. The article also has some solved sample problems for better understanding. A circle is a perfect round shape consisting of all points in a plane that are placed at a given distance from a given point. They consist of a closed curved line around a central point. The points present on the line are at the same distance from the central point. The distance to the centre of a circle is called a radius. The line segment that joins any two points on the circumference of the circle is known as the chord of a circle. As the diameter also joins the two points on the circumference of a circle, thus it is also a chord to a circle.

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The chord of a circle is 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 that passes through the center of the circle. A line segment that joins two points on the circumference of the circle is defined as the chord of the circle. Among the other line segments that can be drawn in a circle, the chord is one whose endpoints lie on the circumference. Observe the following circle to identify the chord PQ.

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. The figure below depicts a circle and its chord. Let us consider the chord CD of the circle and two points P and Q anywhere on the circumference of the circle except the chord as shown in the figure below. Question: Find the length of the chord of a circle where the radius is 7 cm and perpendicular distance from the chord to the center is 4 cm. If we try to establish a relationship between different chords and the angle subtended by them in the center of the circle, we see that the longer chord subtends a greater angle at the center.

Length of chord formula class 10

The chord of a circle is 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 that passes through the center of the circle. A line segment that joins two points on the circumference of the circle is defined as the chord of the circle. Among the other line segments that can be drawn in a circle, the chord is one whose endpoints lie on the circumference. Observe the following circle to identify the chord PQ. Diameter is also considered to be a chord which passes through the center of the circle. Theorem 1: The perpendicular to a chord, drawn from the center of the circle, bisects the chord. Observe the following circle to understand the theorem in which OP is the perpendicular bisector of chord AB and the chord gets bisected into AP and PB.

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Get ready for all-new Live Classes! The chord of a circle is defined as the line segment joining any two points on the circumference of the circle. Here OE denotes the radius of the circle. The article also has some solved sample problems for better understanding. Change Language. It is defined as the line segment joining any two points on the circumference of the circle, not passing through its centre. It is equal to twice the radius of the circle. Already booked a tutor? Let us learn it! The length of the chord progresses as the perpendicular distance from the center of the circle to the chord reduces and vice versa. Interview Experiences. The diameter is double the radius and is also the chord that passes through the center of the circle. In other words, the chord is a line segment whose both ends lie on the circumference of a circle. A circle can have infinite tangents as it is made up of infinite points.

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Learn about Equations of a circle. Calculation of the length of the chord is sometimes very important in mathematics. Change Language. Theorem 3: For two unequal chords of a circle, the larger chord will be closer to the center than the smaller chord. Thus the length of a chord can be found. A chord that crosses through the center of a circle is termed a diameter and the diameter is also the longest chord of that specific circle. Add Other Experiences. Admission Experiences. Yes, the diameter is a chord of a circle. Work Experiences. Easy Normal Medium Hard Expert. Chords of a Circle. The distance to the centre of a circle is called a radius.