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 :.

The longest chord of the circle

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Question 1: Determine the diameter of a circle with a radius of 8cm.

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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. If the length of the radius and distance between the center and chord is known, then the formula to find the length of the chord is given by,.

The longest chord of the circle

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.

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Please Login to comment Easy Normal Medium Hard Expert. A third proof makes use of the Pythagorean and Thales' theorems. Let's recollect the definitions :. Interview Experiences. Get paid for your published articles and stand a chance to win tablet, smartwatch and exclusive GfG goodies! Share your suggestions to enhance the article. Question 1: Determine the diameter of a circle with a radius of 8cm. Work Experiences. What is the longest chord of a Circle?

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.

Indeed why? Share your thoughts in the comments. A chord is a line segment that passes from one point to another point in the circular arc of the circle. Additional Information. Contact Front page Contents Geometry. Theorem - The tangent at any point of a circle is perpendicular to the radius through the point of contact - Circles Class 10 Maths. The portion of a line segment in between these two points and is also represented by them. Change Language. What kind of Experience do you want to share? The same route is taken in my favorite Kiselev's Geometry. Interview Experiences. Book I. A chord that connects two points on the circular arc and passes through the center of the circle is termed as diameter.