The longest chord of the circle

Geometry is the major part of mathematics that deals with lines, angles, points, etc.

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 :. A segment of a straight line joining two points on a circle is called a chord ; a chord that passes through the center of the circle is called a diameter.

The longest chord of the circle

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A point is a geometric location represented by a dot. 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. Let's recollect the definitions : A segment of a straight line joining two the longest chord of the circle on a circle is called a chord ; a chord that passes through the center of the circle is called a diameter.

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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.

The longest chord of the circle

Take a string and tape its ends anywhere inside the hula hoop. That string represents a chord of the circle! The longest chord you could make would stretch from one side of the hula hoop to the other, passing through the center. At this point, students begin studying the chord and other parts of circles. That deals with shapes, sizes, properties of space, and the relationships between different forms. The study of the chord of a circle aligns with the following Common Core Standards :. A chord of a circle is a line segment whose endpoints lie on the circle.

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Save Article. Like Article Like. Nonetheless, it has to be proved and Euclid proves the first part with the reference to the Triangle Inequality I. What is what? It does not comprise length, breadth, or height. Change Language. It also answers the question of which is the longest chord. Book I. Help us improve. A point is a geometric location represented by a dot. Article Tags :. Easy Normal Medium Hard Expert. A chord that connects two points on the circular arc and passes through the center of the circle is termed as diameter. Engineering Exam Experiences. Contact Front page Contents Geometry.

Chord of a circle is a line segment that links two locations on the circumference of the circle.

Add Other Experiences. Improve Improve. Question 4: Determine the diameter of a circle with a radius of 16cm. Previous Tangent to a Circle. We use cookies to ensure you have the best browsing experience on our website. Share your suggestions to enhance the article. Submit your entries in Dev Scripter today. Question 5: Determine the diameter of a circle with a radius of 22cm. Contact Front page Contents Geometry. Ambiguously, the word "diameter" also denotes the length of a diameter. This article is being improved by another user right now. It does not comprise length, breadth, or height.