Arc Length

Arc of a Circle

The portion of the circumference between two points on the circle.

Central Angle

An angle whose vertex is at the center of the circle and whose sides pass through the circle's circumference points.

Arc Length

The distance along the circle circumference between two points.

Ratio of Central Angle to Whole Circle

The simplified fraction representing the central angle relative to the total angles in a circle (360 degrees).

Arc Length Formula

L = (θ/360) * 2πr, where L is arc length, θ is the central angle, and r is the radius.

Circumference of a Circle

The total distance around a circle, calculated as C = 2πr.

Proportionality of Arc Length and Central Angle

The measure of an arc length is directly proportional to the ratio of its central angle to the entire circle.

Fraction of Circle Circumference

A way to express a part of the circumference as a ratio relative to the whole circumference.

Sector of a Circle

The area bounded by two radii and the arc connecting them.

Simplest Fraction

A fraction that cannot be reduced any further, representing the lowest form of the ratio.