The longest chord of the circle

Geometry is the major part of mathematics that deals with lines, angles, points, the longest chord of the circle, 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 :. 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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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 radius of a circle is 14 cm, and the perpendicular distance from the chord to the center is 8 cm.

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.

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Explore offer now. Improve Improve. A third proof makes use of the Pythagorean and Thales' theorems. Ambiguously, the word "diameter" also denotes the length of a diameter. Let's recollect the definitions :. Hire With Us. Similar Reads. Thank you for your valuable feedback! 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. Please Login to comment Number of Tangents from a Point on a Circle. A point is a geometric location represented by a dot. The longest chord of a circle is its diameter, which is double the radius of the circle. Share your suggestions to enhance the article. Like Article Like.

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

Thank you for your valuable feedback! Indeed why? Why Diameter Is the Longest Chord? Mathematically it can be written as,. Givental, Kiselev's Geometry. 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. Vote for difficulty :. Incidentally, Euclid proved that statement in the third book of his Elements as a more informative Proposition XV : 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. Additional Information. Circle Theorems. Enhance the article with your expertise. It also answers the question of which is the longest chord.