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.

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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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 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. A circle can be defined as a 2D figure formed by a set of points that are adjacent to each other and are equidistant from a fixed point. The fixed point in this curved plane figure is called the center of the circle, the common distance between the points from the center is called a radius, and a line that crosses from the center of the circle starting from one point to the other is called a diameter. A circle has two main regions namely, the interior of a circle and the exterior of a circle. The interior of a circle consists of the region inside the circle and the exterior of a circle is the region outside the circle.

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Hire With Us. In another geometric classics, Lessons in Geometry by J. Question 1: Determine the diameter of a circle with a radius of 8cm. Thank you for your valuable feedback! Vote for difficulty :. Like Article. The article is also composed of some sample problems of diameter along with their solutions. Easy Normal Medium Hard Expert. Circle Theorems. What is the longest chord of a Circle?

By definition, a chord is a straight line joining 2 points on the circumference of a circle.

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. You can suggest the changes for now and it will be under the article's discussion tab. Mathematically it can be written as,. Whereas, a line segment is a part of a line with two endpoints. Save Article. It joins the two points of the circle. Skip to content. Interview Experiences. Help us improve. The portion of a line segment in between these two points and is also represented by them. Share your suggestions to enhance the article. Suggest Changes. 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.