AREA RELATED TO CIRCLES
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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 = a^{3}
Whole surface of the cube = sa^{2}. 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