How many diameters are there? Name all the diameter of a circle?
Answer
547.2k+ views
Hint: We know that diameter of a circle is nothing but the longest chord of a circle. Also diameter is twice the radius. We have to find all such diameters of a circle that it can have and this would give us the required answer.
Complete step by step answer:
Now let us learn about the diameter of a circle. In order to find the diameter if the radius is known, then doubling the value of the radius gives us the diameter. The diameter passes through the centre of the circle and touches two edges of the circle. The diameter is also called the chord as it touches two edges of the circle. The diameter only exists for circular objects or the spherical objects. Thus, this can also be called the width of the object.
Now let us find the number of diameters a circle can have.
As we know that, a circle is made up of infinite points. So a circle will have an infinite number of radii as well as a circle can have an infinite number of diameters.
\[\therefore \] A circle can have an infinite number of diameters.
A circle is shown below with few of the diameters.
Note: We can also say that a circle has infinite number of symmetries. As there are an infinite number of points on a circle, there exists an infinite number of diameters. We must always note that a circle is an infinitely sided polygon so a circle will have an infinite number of dimensions.
Complete step by step answer:
Now let us learn about the diameter of a circle. In order to find the diameter if the radius is known, then doubling the value of the radius gives us the diameter. The diameter passes through the centre of the circle and touches two edges of the circle. The diameter is also called the chord as it touches two edges of the circle. The diameter only exists for circular objects or the spherical objects. Thus, this can also be called the width of the object.
Now let us find the number of diameters a circle can have.
As we know that, a circle is made up of infinite points. So a circle will have an infinite number of radii as well as a circle can have an infinite number of diameters.
\[\therefore \] A circle can have an infinite number of diameters.
A circle is shown below with few of the diameters.
Note: We can also say that a circle has infinite number of symmetries. As there are an infinite number of points on a circle, there exists an infinite number of diameters. We must always note that a circle is an infinitely sided polygon so a circle will have an infinite number of dimensions.
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