### Mathematics Class X

Real Numbers
Polynomials
Arithmetic Progressions
Triangles
Coordinate Geometry
Introduction to Trigonometry
Circles
Constructions
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability

# Areas related to Circle

Area of a circle is ,

where  or

is the radius of the circle.

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 times the diameter which is given by the formula

##### 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:

Where  is the angle of sector and  is the radius of the circle.

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