Length of chord formula class 10

The chord of a circle can be stated as a line segment joining two points on the circumference of the circle. The diameter is the longest chord of the circle which passes through the center of the circle, length of chord formula class 10. The figure shown below represents the circle and its chord. In the circle above with center O, AB represents the diameter of the circle longest chord of a circleOE represents the radius of a circle and CD represents the chord of a circle.

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 fixed point is termed the center of the circle. Diameter of the circle is a line that meets 2 points on the edge of the circle and goes through the center and distance surrounding the circle is termed circumference. Thus we can understand that the diameter is the longest chord of a circle that crosses through the center of the circle.

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. Theorem 2: Chords of a circle, equidistant from the center of the circle are equal. Theorem 3: For two unequal chords of a circle, the larger chord will be closer to the center than the smaller chord.

Interview Experiences. In other words, the chord is a line segment whose both ends lie on the circumference of a circle.

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.

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. Similarly, two chords of equal length subtend equal angle at the center. Let us try to prove this statement. Statement: Chords which are equal in length subtend equal angles at the center of the circle.

Length of chord formula class 10

Home » Geometry » Circle » Chord of a Circle. The chord of a circle is a straight line joining two points on the circumference of the circle. The diameter that passes through the center of the circle is the longest chord of the circle. AB is also the diameter, so it is the longest chord of the given circle. There are two basic formulas to find the length of the chord of a circle. Both the formulas give the same result but are used based on the information provided. Let us discuss each of them in detail with solved examples. If the length of the radius and the distance between the center and the chord is given, then the formula to find the chord is given below. Find the length of the chord if the radius of a circle is 16 cm, and the perpendicular distance from the chord to the center is 8 cm. The perpendicular distance from the center of a circle to the chord is 12 inches.

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Related Articles. Maths Games. We can easily calculate the length of the chord using the Chord Length Formula. We may also calculate the chord length if we know both the radius and the length of the right bisector. About Us. Chord of Circle Theorem 9: If the line segment linking any pair of points subtends the same angles at two other points that are on the corresponding side, then they are called concyclic. Chord of Circle Theorem 3: A perpendicular drawn from the center of the circle to the chord bisects it in equal halves. The line segment that joins any two points on the circumference of the circle is known as the chord of a circle. A chord is a line segment that joins any two points on the circumference of the circle. Chord of Circle Theorem 5: Equal chords of a circle are at an equal distance from the centre of the circle. What is the Chord of a Circle? Now learn Live with India's best teachers. Like Article. This implies the diameter of the circle is the longest chord. Privacy Policy.

The radius of is feet and. Find the length of chord.

Contribute to the GeeksforGeeks community and help create better learning resources for all. Commercial Maths. Last Updated : 24 Jan, We use cookies to ensure you have the best browsing experience on our website. Chord of Circle Theorem If there are 3 non-collinear points, then there can be just one circle that can pass through them. There are various properties of chords in a circle, some of those properties are as follows:. Learn about Parts of a Circle and Concentric Circles. R is the radius of a circle. It is the longest chord possible of a circle. As we know a perpendicular bisector from the chord to the center of the circle bisects the chord in two halves. Chord of Circle The chord of a circle is defined as the line segment joining any two points on the circumference of the circle. Similar Reads.