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               \ 30-Sep-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





                5.  State whether the following statements are ‘True’ or ‘False’.

                    (a)  All squares are rectangles.

                    (b)  All rectangles are squares.


                    (c)  A polygon has two sides.

                    (d)  There are four vertices in a square.


                    (e)  All quadrilaterals are rectangles.


              circLes


              Look at these objects and observe their shapes.

              The shape  of each  object  represents  a  circle.  You can  see

              many objects around you which have the shape of a circle.

              A  circle is  a simple  closed curve, all  points  on which  are at  an                            circle
              equal distance from a fixed point inside it. The fixed point is called                     O      centre

              the centre of the circle.

              Parts of a circle

                                                                                        Think Tank
              Take a sheet of paper and trace a circle on it using                    Why is a circle not considered

              a bangle.  Cut  along  the  traced line  and fold the                   a polygon, even though it is a
              paper circle twice to make creases as shown below.                      closed figure?

              Open and observe it. The point where the two creases meet is called the centre of

              the  circle and  the  crease  passing  through the  centre is  called  the  diameter of the
              circle.


                                                                                             Creases (Diameters)
                               1st fold             2nd fold             Unfold
                                                                                            Centre

              The distance from the centre of                                     Centre of
                                                                                  circle (O)
              the circle to any point on the circle                                 Diameter (AB)
              is called the radius of the circle.                    O                               Be Aware
                                                        A                          B                The plural of
              A half circle is called a semicircle.                                 Radius (OR)     radius is radii.

              The distance around the circle                                                        All radii of a
                                                                                                    circle are equal
              is called the circumference.                                 R    Circumference       in length.


              Mathematics-4                                                                                         137
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