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Shape and space:  areas
 

Shape and space: areas

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Areas of simple shapes for GCSE mathematics

Areas of simple shapes for GCSE mathematics

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    Shape and space:  areas Shape and space: areas Presentation Transcript

    • Shape and space: area & perimeter
      BTEOTSSBAT:
      Find the area and perimeter of simple shapes
    • Key words
      Dimension
      Area
      Perimeter
      Height
      Length
      Width
      Circumference
      Parallelogram
      Trapezium
    • Dimensions
    • Dimensions
    • Dimensions
      1 D
    • Dimensions
      1 D
      length
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      area
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      mm²
      cm²

      km²
      area
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      mm²
      cm²

      km²
      area
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      mm²
      cm²

      km²
      area
      3 D
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      mm²
      cm²

      km²
      area
      3 D
      volume
    • Dimensions
      mm
      cm
      m
      km
      1 D
      length
      2 D
      mm²
      cm²

      km²
      area
      3 D
      mm³
      cm³

      km³
      volume
    • Perimeter
      The perimeter of a shape is the distance around its edges.
    • Perimeter
      The perimeter of a shape is the distance around its edges.
      Example
      Find the perimeter of this room
    • Perimeter
      The perimeter of a shape is the distance around its edges.
      Example
      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.
      The total perimeter will be:
      shape (a) 7 + 7 + 7 + 4 = 25
      shape (b) 3 + 3 +3 = 9
      total = 25 + 9 = 34 units.
      Find the perimeter of this room
    • Now try these 1
      Find the perimeter of the following shapes:
      (a) (b)
      4 cm
      6 cm
      4 cm
      4 cm
      4 cm
      2 cm
    • (c) (d)
      All dimensions in metres
    • The perimeter of a circle
      The perimeter of a circle is called the circumference.
    • The perimeter of a circle
      The perimeter of a circle is called the circumference.
      The circumference = π  diameter or 2  π  radius
    • The perimeter of a circle
      The perimeter of a circle is called the circumference.
      The circumference = π  diameter or 2  π  radius
      Cherry pies delicious
    • The perimeter of a circle
      The perimeter of a circle is called the circumference.
      The circumference = π  diameter or 2  π  radius
      Find the circumference of these circles
      2 cm 10 cm
      1 m
    • Now try these 2
      1. Find the area of these triangles:
      5.2 cm
      5 cm
      4 cm
      6.1 cm
      4 cm
      3 cm
      5 cm
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
    • Parallelogram
      Width
      Height
      Area = height x width!
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      b
    • Trapezium
      a
      Height
      ½ (a + b)
      b
    • Trapezium
      a
      Height
      ½ (a + b)
      Area = ½ (a + b)x h
      b
    • Area = πr²
    • Cherry pies delicious
      Apple pies are 2
      Area = πr²
    • Area = πr²
    • 2. Find the area of the following circles:
      r = 4 cm r = 2.5 cm
      r = 3 cm
      D = 12 cm
      D = 24 cm
    • 3. Find the area of the following shapes:
      5 cm 12 cm
      4 cm
      4 cm
      10 cm
      4 cm
      10 cm
      4 cm
      3 cm
      3 cm
      8 cm