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Radius  (of a circle)
From Latin: radius "staff, spoke of a wheel"
A line from the center of a circle to a point on the circle.
Try this Drag the orange dot. The blue line will always remain a radius of the circle.
(If there is no image below, see support page.)

The radius of a circle is the length of the line from the center to any point on its edge. The plural form is radii (pronounced "ray-dee-eye"). In the figure above, drag the orange dot around and see that the radius is always constant at any point on the circle.

Sometimes the word 'radius' is used to refer to the line itself. In that sense you may see "draw a radius of the circle". In the more recent sense, it is the length of the line, and so is referred to as "the radius of the circle is 1.7 centimeters"



If you know the diameter
Given the diameter of a circle, the radius is simply half the diameter:
where:
D  is the diameter of the circle


If you know the circumference
If you know the circumference of a circle, the radius can be found using the formula
where:
C  is the circumference of the circle
π  is Pi, approximately 3.142


If you know the area
If you know the area of a circle, the radius can be found using the formula
where:
A  is the area of the circle
π  is Pi, approximately 3.142
Related measures

Diameter Which is the circle's 'width'. The diameter is two times the radius. See diameter of a circle

Circumference The circumference is the distance around the edge of the circle. See Circumference of a Circle for more.

Other circle topics

General

Angles in a circle

Arcs

(C) 2007 Copyright John Page