Diameter Is The Longest Chord Of A Circle

A special line drawn inside a circle is called a chord. Draw circle o and any chord ab on it.

Find The Diameter Or Longest Chord Of A Circle Geeksforgeeks

diameter is the longest chord of a circle

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The diameter would be the longest chord in the circle.

Diameter is the longest chord of a circle. The diameter of a circle is the distance across a circle. Equal chords are subtended by equal angles from the center of the circle. The longest chord is when the points are on opposite sides of the centre of the circle and passes through the centre of the circle.

Watch this video to learn about circles and see how you can remember them forever. Any other chord that goes through the center of the circle is also a diameter by definition. There are so many interesting things to know and visualize about circles.

A chord is a straight line from one point on a circles circumference to another. The chord of a circle which passes through the centre of the circle is called the diameter of the circle. From one endpoint of the chord say a draw a line segment through the center.

Chords are equidistant from the center if and only if their lengths are equal. So any chord that is not a diameter will be smaller than a diameter. The longest chord of any circle is its diameter.

The straight line which joins the points on opposite sides of the centre through the centre is called the diameter of the circle. A chord is a line segment with both endpoints on the circle. Length of the longest chord or diameter 2r.

Formula for the diameter of circle. Two times the radius makes a diameter. The chord of a circle is a line segment joining any two points on the circle.

Among all the circles with a chord ab in common the circle with minimal radius is the one with diameter ab. The diameter is also the longest chord of a circle. Among properties of chords of a circle are the following.

Therefore the longest chord possible is the diameter of the circle. If the intersection of any two chords divides one chord into lengths a and b and divides the other chord into lengths c and d then ab cd. Because the largest straight line distance in a circle is the diameter and the diameter is also a chord the diameter is the longest chord.

It is a diameter and here is a beautiful little proof i came up with decades ago. The diameter is the longest chord of the circle. The diameter is a special chord that passes through the center of the circle.

A chord can be of different lengths. The longest length of the chord is called a diameter. A chord that passes through the center of a circle is called a diameter and is the longest chord.

It is also defined as a chord that goes through the center of the circle. All the diameters of the same circle have the same length. Therefore the diameter of a circle is twice the radius of it.

Below is the implementation of the above approach. The diameter of the circle goes through the center of the circle and is equal to 2 times the radius. So the largest chord is a diameter.

That is draw a diameter.

Why Diameter Is The Longest Chord