Page 151 - Maths Skills - 7
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Perimeter and Area                                                                                     149














                                                    MIND MAP






                   Perimeter                  Perimeter and Area



                                                                                     Circle
                         Features                              �  Diameter (d) = 2 × radius (r)      Circumference
             �  It is like a fence around a shape              �  Circumference = 2pr            A        d      B
             �  It denotes the total length of the             �  Area of circle = pr 2            Centre  O  r
                shape’s boundary
             �  It is 1-D                                      �  Area of ring = pR – pr 2
                                                                                    2
             �  It express in meter or cm etc.                    = p(R – r )                          R
                                                                        2
                                                                           2
                                                                  = p(R + r) (R – r)             O r



                          Formulae

          Triangle      side (1) + side (2) + side (3)           Area                  Rememberable Things
          Equilateral triangle      3 × side                                            �  1 acre = 4046.85 m 2
          Rectangle       2 (length + breadth)                                          �  1 hectare = 10000 m  2
          Square       4 × side


                                                                                Features
                                                            �  It is like a covered space of the 2-D boundary
                                                            �  It is 2-D
                                                                                   2
                                                            �  It express in meter  or cm  etc.
                                                                                          2


                                               Formulae
             Rectangle      length × breadth                                          E                       H
             Square      (side) 2                                                         A               D
                          1
             Triangle       × base × height
                          2
             Equilateral Triangle        4 3   × (side) 2                                 B               C
             Parallelogram      base × corresponding height                           F                       G
             Area of rectangular path = area of rectangle EFGH – area of rectangle ABCD
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