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Shape and space: areas

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Areas of simple shapes for GCSE mathematics

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Shape and space: areas

  1. 1. Shape and space: area & perimeter<br />BTEOTSSBAT:<br />Find the area and perimeter of simple shapes<br />
  2. 2. Key words<br />Dimension<br />Area<br />Perimeter<br />Height<br />Length<br />Width<br />Circumference<br />Parallelogram<br />Trapezium<br />
  3. 3. Dimensions<br />
  4. 4. Dimensions<br />
  5. 5. Dimensions<br />1 D<br />
  6. 6. Dimensions<br />1 D<br />length<br />
  7. 7. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />
  8. 8. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />
  9. 9. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />
  10. 10. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />area<br />
  11. 11. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />mm²<br />cm²<br />m²<br />km²<br />area<br />
  12. 12. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />mm²<br />cm²<br />m²<br />km²<br />area<br />
  13. 13. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />mm²<br />cm²<br />m²<br />km²<br />area<br />3 D<br />
  14. 14. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />mm²<br />cm²<br />m²<br />km²<br />area<br />3 D<br />volume<br />
  15. 15. Dimensions<br />mm<br />cm<br />m<br />km<br />1 D<br />length<br />2 D<br />mm²<br />cm²<br />m²<br />km²<br />area<br />3 D<br />mm³<br />cm³<br />m³<br />km³<br />volume<br />
  16. 16. Perimeter<br />The perimeter of a shape is the distance around its edges.<br />
  17. 17. Perimeter<br />The perimeter of a shape is the distance around its edges.<br />Example<br />Find the perimeter of this room<br />
  18. 18. Perimeter<br />The perimeter of a shape is the distance around its edges.<br />Example<br />To find the perimeter we need to know the lengths of some of the missing sides. The side joining shapes (a) and (b) is 7 in total, but 3 is missing from it so it has a length of 7 -3 = 4.<br />The total perimeter will be:<br />shape (a) 7 + 7 + 7 + 4 = 25<br />shape (b) 3 + 3 +3 = 9<br />total = 25 + 9 = 34 units.<br />Find the perimeter of this room<br />
  19. 19. Now try these 1<br />Find the perimeter of the following shapes:<br />(a) (b)<br />4 cm <br /> 6 cm <br />4 cm <br />4 cm <br /> 4 cm <br />2 cm <br />
  20. 20. (c) (d)<br />All dimensions in metres<br />
  21. 21. The perimeter of a circle<br />The perimeter of a circle is called the circumference.<br />
  22. 22. The perimeter of a circle<br />The perimeter of a circle is called the circumference.<br />The circumference = π  diameter or 2  π  radius<br />
  23. 23. The perimeter of a circle<br />The perimeter of a circle is called the circumference.<br />The circumference = π  diameter or 2  π  radius<br />Cherry pies delicious <br />
  24. 24. The perimeter of a circle<br />The perimeter of a circle is called the circumference.<br />The circumference = π  diameter or 2  π  radius<br />Find the circumference of these circles<br />2 cm 10 cm<br /> 1 m<br />
  25. 25.
  26. 26.
  27. 27.
  28. 28.
  29. 29.
  30. 30. Now try these 2<br />1. Find the area of these triangles:<br />5.2 cm<br />5 cm<br />4 cm<br />6.1 cm <br />4 cm<br />3 cm<br />5 cm<br />
  31. 31.
  32. 32. Parallelogram<br />Width<br />Height<br />
  33. 33. Parallelogram<br />Width<br />Height<br />
  34. 34. Parallelogram<br />Width<br />Height<br />
  35. 35. Parallelogram<br />Width<br />Height<br />
  36. 36. Parallelogram<br />Width<br />Height<br />
  37. 37. Parallelogram<br />Width<br />Height<br />
  38. 38. Parallelogram<br />Width<br />Height<br />
  39. 39. Parallelogram<br />Width<br />Height<br />
  40. 40. Parallelogram<br />Width<br />Height<br />Area = height x width!<br />
  41. 41.
  42. 42.
  43. 43. Trapezium<br />a<br />Height<br />b<br />
  44. 44. Trapezium<br />a<br />Height<br />b<br />
  45. 45. Trapezium<br />a<br />Height<br />b<br />
  46. 46. Trapezium<br />a<br />Height<br />b<br />
  47. 47. Trapezium<br />a<br />Height<br />b<br />
  48. 48. Trapezium<br />a<br />Height<br />b<br />
  49. 49. Trapezium<br />a<br />Height<br />b<br />
  50. 50. Trapezium<br />a<br />Height<br />b<br />
  51. 51. Trapezium<br />a<br />Height<br />b<br />
  52. 52. Trapezium<br />a<br />Height<br />b<br />
  53. 53. Trapezium<br />a<br />Height<br />b<br />
  54. 54. Trapezium<br />a<br />Height<br />b<br />
  55. 55. Trapezium<br />a<br />Height<br />b<br />
  56. 56. Trapezium<br />a<br />Height<br />½ (a + b)<br />b<br />
  57. 57. Trapezium<br />a<br />Height<br />½ (a + b)<br />Area = ½ (a + b)x h<br />b<br />
  58. 58.
  59. 59. Area = πr²<br />
  60. 60. Cherry pies delicious<br />Apple pies are 2<br />Area = πr²<br />
  61. 61. Area = πr²<br />
  62. 62. 2. Find the area of the following circles:<br />r = 4 cm r = 2.5 cm<br />r = 3 cm<br />D = 12 cm <br />D = 24 cm<br />
  63. 63. 3. Find the area of the following shapes:<br /> 5 cm 12 cm<br />4 cm<br />4 cm<br />10 cm<br />4 cm<br />10 cm<br />4 cm<br />3 cm<br />3 cm<br />8 cm<br />

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