the Circle by VBr1k2g

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									The Circle
By Ranjana
                O            A




             CIRCLE
Eg. ball,bangle,lemon.coin
         CENTRE
              O
  B                        A
                  RADIUS




CENTRE : O
RADIUS : OA
                   .
                   O




In a plane,each point of the circle is at equal
distance from a fixed point.The fixed point is
called the centre of the circle.

              CENTRE = O
                    Radius
                O                A




The distance from centre to any point on the
circle is called radius of the circle.

              RADIUS = OA
                     A

                         D
                         I
                     A

                    .
                   O M
                     E
                     T
                     E
                     R

                     B
 A Line segment passing through the centre of
the circle and whose end points lie on the circle
       is called the diameter of the circle.
          DIAMETER = AB
                  .
                  O




The length of the circle or the distance
around it is called circumference of the
circle.
     A           .
                 O
                             B




A Line segment whose both the ends touches
the circumference and passes through the
centre is called diameter.
DIAMETER : AB
Relation between radius and diameter
RADIUS = DIAMETER
            2



                A        .
                         O
                                   B


OB = AB
      2
Eg. If diameter of the circle is 10 cm then find
its radius?
 Sol. Radius =diameter / 2
      radius=10 cm/ 2
      radius =5 cm

                A               .
                                O
                         Diameter = 10cm       B
Eg. If radius of the circle is 6 cm,then find the
diameter of the circle?
Sol. Diameter = 2 x Radius
    Diameter = 2 x 6cm
    Diameter = 12 cm


                         A
                             Radius = 6cm
                                            .O
RELATION BETWEEN CIRCUMFERENCE AND
             DIAMETER

CIRCUMFERENCE = 3 x DIAMETER(APPROX)




     A           .
                 O

             DIAMETER
                              B
Eg. Find the circumference (approx) of the circle whose
diameter is 10cm.
Sol. Circumference = 3 x
diameter(approx)
    Circumference = 3 x 10 cm
    Circumference = 30 cm


                      A                  .
                                         O                B
                            DIAMETER=10 CM
                     EVALUATION
 1. what is the relation between radius and diameter of the
 circle?
  Sol .Radius=diameter/2
 2. What is the relation between circumference and diameter
 of the circle?
Sol. Circumference=3Xdiameter(approx)

3. In this figure
              radius
 OA or OB is ______. A                     .
                                           O
                                                              B
        diameter
 AB is ________.
         centre
  O is _________.
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