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


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