AREA RELATED TO CIRCLES

12/18/2011 CBSE

AREA RELATED TO CIRCLES

• The distance covered by traveling once around a circle is its perimeter,
usually called its circumference, and circumference of a circle bears a
constant ratio with its diameter

• Area of the sector of angle can be calculated by using the following
formulae

Area of the sector of angle

• Equal chords are made by equal arcs, and length of the arc of a sector of
angle can be calculated by using following formulae

Length of an arc of a sector of angle

• Area of segment of a circle = Area of the corresponding sector – Area of
the corresponding triangle

• If length of any cuboid is

, breadth =b, height = h then,

Volume of cuboid = (

x b x h) cubic units.

Surface of cuboid = 2(
b
x bh x h ) sq. units

• If each edge of a cube be a units then:

Volume of the cube = a3

Whole surface of the cube = sa2. units

Diagonal of the cube =
units

• If a cone has radius of base=r, height=h and slant height = h and slant
height =   . Then

Volume of the cone =

Curved surface area of the cone =
sq. units

Total surface area of the cone =
sq. units

• If the radius of the sphere be r. Then

Volume of the sphere =

Surface area of the sphere = Surface area of the sphere =

Curved surface area of the hemisphere=

• Let radius of base be r & height of length be h

Volume of the cylinder =

Curved surface area of the cylinder =

Total surface area of the cylinder =
sq. units