Circle Definition

noun
  • geometry
    a shape where every point along its perimeter is an equal distance from its center.
    "the circle with a radius of one is called the unit circle."
All terms

Explanation

A circle is a shape where every point along its perimeter is an equal distance from its center.

A circle defined by a center point and radius.

Since a circle is used throughout math, many of its properties and attributes are given specific names.

Attributes
Circle Radius Radius
The radius is the distance from the center of the circle to any point along the perimeter of the circle.
Circle Circumference Circumference
The circumference is the length around the perimeter of the circle.
Circle Diameter Diameter
The diameter is the distance between any two points along the perimeter of the circle that passes through the center of the circle.
Circle Area Area
The area of a circle is the amount of two-dimensional space that fits inside the perimeter of the circle.
π (pi) Constant π (pi)
The constant (pi) is a naturally occuring number calculated by dividing the circumference of any circle by its diameter.
Circle Constant τ (tau)
The constant (tau) is a naturally occuring number calculated by dividing the circumference of any circle by its radius.

Related Terms

Sphere

A sphere is a three-dimensional geometric shape that is perfectly symmetrical around its center. All points on the surface of a sphere are equidistant from its center.

Links

π (pi)

The Greek letter π (pi) is a geometric constant approximately equal to 3.1416. Its value is equal to the length of any circle's circumference divided by its diameter.

τ (tau)

The circle constant τ (tau) is a geometric constant approximately equal to 6.283. The numeric value is defined as the length of any circle's circumference divided by the length of its radius.

Area of Circle

The area of a circle is given by one-half multiplied by τ (tau) multiplied by the radius of the circle squared.

Circumference of Circle

The circumference of a circle is given the constant τ (tau) multiplied by the radius of the circle, where τ = 2π.

Sine

The sine function returns the sine of a number provided in radians. In geometric terms, the function returns the vertical component of the point formed by the angle on the unit circle.

Cosine

The cosine function returns the cosine of an angle provided in radians. In geometric terms, the function returns the ratio of the right triangle's adjacent side over its hypotenuse.