2.7.2

Estimate Area

Test yourself

Estimating Area Under a Graph

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Straight lines only - exact calculation

  • To calculate the area under a graph, split the area into trapeziums and rectangles and work out the area of each section.
  • Use the formula:
    • Area (Trapezium) = 12 × base × (a + b)
    • Where a and b are the sides of the trapezium.
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Curved line - estimate

  • If the graph is not made up of straight lines you can estimate the area by splitting the graph approximately into trapeziums and doing the same calculation.
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Overestimate or underestimate

  • An area estimate is an overestimate when the trapeziums are above the curve and an underestimate when the trapeziums are below the curve.
  • In the example the first and second sections are underestimates and the third is an overestimate.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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