Area approximation — KCSE Mathematics
KCSE Mathematics · 113 practice questions · 3 syllabus objectives
What You'll Learn
Key learning outcomes for this topic, aligned to the KNEC KCSE syllabus.
Derive and apply the trapezium rule to approximate areas of irregular shapes and under curves
Derive and apply the mid-ordinate rule to approximate area under curves
Approximate the area of irregular shapes by counting techniques
Sample Questions
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Describe how you can estimate the area of an irregularly shaped pond using the grid counting method. (3 marks)
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Using the mid-ordinate rule, identify the factors affecting the accuracy of area approximation when estimating the area under a curve defined by f(x) = x² from x = 0 to x = 4 with 4 strips. (4 marks)
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State the mid-ordinate rule and calculate the approximate area under the curve of the function y = 2x + 3 between x = 1 and x = 5 using 4 equal strips. (4 marks)
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Why Practise Area approximation?
KNEC Aligned
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