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Indice   Definitions   Triangles       Quadrilaterals   Regular polygons   Circles   Exercises




                             Perimeter and Area



                                  Matem´ticas 1o E.S.O.
                                       a
                                  Alberto Pardo Milan´s
                                                     e




                                                -
Indice        Definitions    Triangles   Quadrilaterals   Regular polygons   Circles   Exercises




         1 Definitions


         2 Triangles


         3 Quadrilaterals


         4 Regular polygons


         5 Circles


         6 Exercises
Indice        Definitions   Triangles     Quadrilaterals   Regular polygons    Circles   Exercises




                                        Definitions




Alberto Pardo Milan´s
                   e                                                          Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Definitions


 Perimeter and Area

          The perimeter of a surface is the length of this boundary.




          The area of a surface is the amount of material needed to cover it
          completely.




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles    Quadrilaterals   Regular polygons    Circles   Exercises




                                        Triangles




Alberto Pardo Milan´s
                   e                                                         Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Triangles


 Area of a triangle

          The area of a triangle can be found by multiplying the base times
          the one-half the height.




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises




                               Quadrilaterals




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice           Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Quadrilaterals


 Area and Perimeter of a Square

          The perimeter of a square is the distance around the outside of the
          square. A square has four sides of equal length. The formula for
          finding the perimeter of a square is 4 times the length of a side.
          The area of a square can be found by multiplying the length of a
          side times itself.




Alberto Pardo Milan´s
                   e                                                           Perimeter and Area
Indice           Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Quadrilaterals


 Area and Perimeter of a Rectangle

          A rectangle has four sides and four right angles. The formula for
          finding the perimeter is 2 times the base plus 2 times the height.
          The area of a rectangle can be found by multiplying the base times
          the height.




Alberto Pardo Milan´s
                   e                                                           Perimeter and Area
Indice           Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Quadrilaterals


 Area and Perimeter of a Parallelogram

          Parallelograms are quadrilaterals with opposite sides parallel (two
          pairs of sides parallel). In a parallelogram opposite sides are
          congruent (with the same length). The formula for finding the
          perimeter is 2·Side a + 2·Side b. The area of a parallelogram can
          be found by multiplying the base times the height.




Alberto Pardo Milan´s
                   e                                                           Perimeter and Area
Indice           Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Quadrilaterals


 Area of a Trapeziums

          A trapezium is a quadrilateral (has 4 sides) and has only one pair
          of sides parallel. To determine the area of a trapezoid, first add the
          lengths of the 2 parallel sides, then divide by 2, finally multiply this
          by the height (distance between the parallel sides).




Alberto Pardo Milan´s
                   e                                                           Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises




                            Regular polygons




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Regular polygons


 Area and Perimeter of a Regular Polygon

          The perimeter of regular polygon with n sides is n times the lenght
          of a side. The area of a regular polygon is the one-half the
          apothem times the perimeter.




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises




                                        Circles




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Circles


 Area and Circumference of a Circle

           The circumference of a circle is the distance around the outside of
           the circle. It could be called the perimeter of the circle. The
           circumference of a circle can be found by multiplying π by the
           diameter of the circle. If you know the radius, the diameter is twice
           as large. The area of a circle can be found by multiplying π by the
           square of the radius.




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles    Quadrilaterals   Regular polygons    Circles   Exercises




                                        Exercises




Alberto Pardo Milan´s
                   e                                                         Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Exercises


 Exercise 1




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area
Indice        Definitions   Triangles   Quadrilaterals   Regular polygons    Circles   Exercises

 Exercises


 Exercise 1




Alberto Pardo Milan´s
                   e                                                        Perimeter and Area

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Unit12

  • 1. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Perimeter and Area Matem´ticas 1o E.S.O. a Alberto Pardo Milan´s e -
  • 2. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises 1 Definitions 2 Triangles 3 Quadrilaterals 4 Regular polygons 5 Circles 6 Exercises
  • 3. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Definitions Alberto Pardo Milan´s e Perimeter and Area
  • 4. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Definitions Perimeter and Area The perimeter of a surface is the length of this boundary. The area of a surface is the amount of material needed to cover it completely. Alberto Pardo Milan´s e Perimeter and Area
  • 5. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Triangles Alberto Pardo Milan´s e Perimeter and Area
  • 6. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Triangles Area of a triangle The area of a triangle can be found by multiplying the base times the one-half the height. Alberto Pardo Milan´s e Perimeter and Area
  • 7. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Quadrilaterals Alberto Pardo Milan´s e Perimeter and Area
  • 8. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Quadrilaterals Area and Perimeter of a Square The perimeter of a square is the distance around the outside of the square. A square has four sides of equal length. The formula for finding the perimeter of a square is 4 times the length of a side. The area of a square can be found by multiplying the length of a side times itself. Alberto Pardo Milan´s e Perimeter and Area
  • 9. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Quadrilaterals Area and Perimeter of a Rectangle A rectangle has four sides and four right angles. The formula for finding the perimeter is 2 times the base plus 2 times the height. The area of a rectangle can be found by multiplying the base times the height. Alberto Pardo Milan´s e Perimeter and Area
  • 10. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Quadrilaterals Area and Perimeter of a Parallelogram Parallelograms are quadrilaterals with opposite sides parallel (two pairs of sides parallel). In a parallelogram opposite sides are congruent (with the same length). The formula for finding the perimeter is 2·Side a + 2·Side b. The area of a parallelogram can be found by multiplying the base times the height. Alberto Pardo Milan´s e Perimeter and Area
  • 11. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Quadrilaterals Area of a Trapeziums A trapezium is a quadrilateral (has 4 sides) and has only one pair of sides parallel. To determine the area of a trapezoid, first add the lengths of the 2 parallel sides, then divide by 2, finally multiply this by the height (distance between the parallel sides). Alberto Pardo Milan´s e Perimeter and Area
  • 12. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Regular polygons Alberto Pardo Milan´s e Perimeter and Area
  • 13. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Regular polygons Area and Perimeter of a Regular Polygon The perimeter of regular polygon with n sides is n times the lenght of a side. The area of a regular polygon is the one-half the apothem times the perimeter. Alberto Pardo Milan´s e Perimeter and Area
  • 14. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Circles Alberto Pardo Milan´s e Perimeter and Area
  • 15. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Circles Area and Circumference of a Circle The circumference of a circle is the distance around the outside of the circle. It could be called the perimeter of the circle. The circumference of a circle can be found by multiplying π by the diameter of the circle. If you know the radius, the diameter is twice as large. The area of a circle can be found by multiplying π by the square of the radius. Alberto Pardo Milan´s e Perimeter and Area
  • 16. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Exercises Alberto Pardo Milan´s e Perimeter and Area
  • 17. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Exercises Exercise 1 Alberto Pardo Milan´s e Perimeter and Area
  • 18. Indice Definitions Triangles Quadrilaterals Regular polygons Circles Exercises Exercises Exercise 1 Alberto Pardo Milan´s e Perimeter and Area