Areas related to Circle

Area of a circle is \pi r^2 ,

where \pi=\dfrac{22}{7} or \approx3.14

r is the radius of the circle.

\pi is the ratio of the circumference of a circle to its diameter.

Circumference of a Circle

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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