The perimeter of a circle is the distance covered by going around its boundary once. The perimeter of a circle has a special name: Circumference, which is $\pi$ times the diameter which is given by the formula $2\pi r$

Segment of a Circle

A circular segment is a region of a circle which is “cut off” from the rest of the circle by a secant or a chord.

Angle of a Sector

The angle of a sector is that angle which is enclosed between the two radii of the sector.

Length of an arc of a sector

The length of the arc of a sector can be found by using the expression for the circumference of a circle and the angle of the sector, using the following formula:

$L=\left(\dfrac{\theta}{360^o}\right)\times 2\pi r$

Where $\theta$ is the angle of sector and $r$ is the radius of the circle.

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