the longest chord of the circle

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.

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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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.

The longest chord of the circle

By definition, a chord is a straight line joining 2 points on the circumference of a circle. The diameter of a circle is considered to be the longest chord because it joins to points on the circumference of a circle. Chord CD is the diameter of the circle. There are two formulas to find the length of a chord. Each formula is used depending on the information provided.

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Question 2: Determine the diameter of a circle with a radius of 12cm. Easy Normal Medium Hard Expert. Whereas, a line segment is a part of a line with two endpoints. Please go through our recently updated Improvement Guidelines before submitting any improvements. Improved By :. Theorem - The tangent at any point of a circle is perpendicular to the radius through the point of contact - Circles Class 10 Maths. Circle Theorems. Report issue Report. A point is a geometric location represented by a dot. Explore offer now. The portion of a line segment in between these two points and is also represented by them. Is radius a chord of a circle?

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

Work Experiences. What kind of Experience do you want to share? Help us improve. This article is being improved by another user right now. What is the longest chord of a Circle? Engineering Exam Experiences. They are the visual study of shapes and sizes. 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. Previous Tangent to a Circle. Is radius a chord of a circle? Vote for difficulty :. Please Login to comment Interview Experiences.

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