The longest chord of the circle

Geometry is the major part of mathematics that deals with lines, angles, points, etc. They are the visual study of shapes and sizes. The geometric approach is seen everywhere around us as every object has a certain shape whose parameters can be studied with the help of geometrical formulas. The article also discusses a certain change circle, with details about points lines, chords.

Indeed why? Why a diameter is the longest chord in a circle? I sometimes heard and several times read at popular math sites that the reason why a diameter is the longest chord is that a diameter passes through the center of the circle. While that is true that passing through the center has something to do with the length of a chord, the answer, as given, is vacuous. Since the definition of a diameter is a chord passing through the center of the circle, such an explanation actually reads: "The diameter is the longest chord in a circle because it is a diameter of the circle. Let's recollect the definitions :.

The longest chord of the circle

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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.

The longest chord of the circle

There are many parts of a circle that make it a circle. A circle is a 2D shape and is measured in terms of its radius. The parts of a circle include the radius, diameter, circumference, and so on. Let us learn about the circle and its parts in detail.

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Is radius a chord of a circle? It joins the two points of the circle. You can suggest the changes for now and it will be under the article's discussion tab. Enhance the article with your expertise. A point is a geometric location represented by a dot. A chord that connects two points on the circular arc and passes through the center of the circle is termed as diameter. Similar Reads. Contribute your expertise and make a difference in the GeeksforGeeks portal. Open In App. This article is being improved by another user right now.

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.

It also answers the question of which is the longest chord. Of straight lines in a circle the diameter is greatest, and of the rest the nearer to the center is always greater than the more remote. Question 2: Determine the diameter of a circle with a radius of 12cm. On a casual inspection, it seems obvious: Nonetheless, it has to be proved and Euclid proves the first part with the reference to the Triangle Inequality I. The portion of a line segment in between these two points and is also represented by them. Theorem - The tangent at any point of a circle is perpendicular to the radius through the point of contact - Circles Class 10 Maths. Ambiguously, the word "diameter" also denotes the length of a diameter. Explore offer now. Create Improvement. Number of Tangents from a Point on a Circle. Theorem - There is one and only one circle passing through three given non-collinear points Class 9 Maths. Please Login to comment Suggest changes. Enhance the article with your expertise. Report issue Report.