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What is the longest chord of a Circle?

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  • Last Updated : 16 Dec, 2021

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.

The article also discusses a certain change circle, with details about points lines, chords. It also answers the question of which is the longest chord. The article is also composed of some sample problems of diameter along with their solutions.

Points

A point is a geometric location represented by a dot (.) on the plane surface. a point does not have any dimensions. It does not comprise length, breadth, or height. But, all the structures whether it be two-dimensional or three /dimensional are drawn by connecting certain points. Hence, it can also be stated that shapes are the collection of points.

Lines and line segments

A line is a collection of points that extends up to infinity in two directions or does not have an end. Whereas, a line segment is a part of a line with two endpoints. The portion of a line segment in between these two points and is also represented by them.

Chord

A chord is a line segment that passes from one point to another point in the circular arc of the circle. It joins the two points of the circle. A chord that connects two points on the circular arc and passes through the center of the circle is termed as diameter. 

What is the longest chord of a Circle?

Answer:

The longest chord of a circle is its diameter, which is double the radius of the circle. The length of the longest chord or diameter is determined by doubling the length of a given radius. Mathematically it can be written as,

length of longest chord\Diameter = 2r

Where r stands for radius. 

Sample Problems

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

Answer:

The given radius (r) of the circle is 8cm.

By the formula,

Diameter = 2r

d = 2 × 8

d = 16cm

Question 2: Determine the diameter of a circle with a radius of 12cm.

Answer:

The given radius (r) of the circle is 12cm.

By the formula,

Diameter = 2r

d = 2 × 12

d = 24cm

Question 3: Determine the diameter of a circle with a radius of 20cm.

Answer:

The given radius (r) of the circle is 20cm.

By the formula,

Diameter = 2r

d = 2 × 20

d = 40cm

Question 4: Determine the diameter of a circle with a radius of 16cm.

Answer:

The given radius (r) of the circle is 16cm.

By the formula,

Diameter = 2r

d = 2 × 16

d = 32cm

Question 5: Determine the diameter of a circle with a radius of 22cm.

Answer:

The given radius (r) of the circle is 22cm.

By the formula,

Diameter = 2r

d = 2 × 22

d = 44cm

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