Diameter (of a circle)
From Greek: dia- "across, through" + metron "a measure"
The distance across a circle through its center point.
Try this Drag the orange dot. The blue line will always remain a diameter of the circle.
(If there is no image below, see support page.)
The diameter of a circle is the length of the line through the center and touching two points on its edge.
In the figure above, drag the orange dots around and see that the diameter never changes.
Sometimes the word 'diameter' is used to refer to the line itself. In that sense you may see "draw a diameter of the circle".
In the more recent sense, it is the length of the line, and so is referred to as "the diameter of the circle is 3.4 centimeters"
The diameter is also a
chord.
A chord is a line that joins any two points on a circle.
A diameter is a chord that runs through the center point of the circle.
It the longest possible chord of any circle.
If you know the radius
Given the radius of a circle, the diameter can be calculated using the formula
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where:
R is the radius of the circle
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If you know the circumference
If you know the circumference of a circle, the diameter can be found using the formula
If you know the area
If you know the area of a circle, the diameter can be found using the formula
Related measures
Radius
The radius is the distance from the center to any point on the edge.
As you can see from the figure above, the diameter is two radius lines back to back,
so the diameter is always two times the radius.
See radius of a circle
Circumference
The circumference is the distance around the edge of the circle. See
Circumference of a Circle for more.
Thales' Theorem
Thales' Theorem states that the diameter of a circle
subtends a
right angle
to any point of the circle's circumference. (see figure on right).
No matter where the point is, the triangle
formed is always a right triangle.
See Thales Theorem for an interactive animation of this concept.
Other circle topics
General
Angles in a circle
Arcs
(C) 2007 Copyright John Page
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