Bece Model Questions Vol1 2024 Mathematics Question 8

Practice essay / theory question 8 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers Approximation .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory

Topic: Approximation

Question 8 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

A circular field has a radius of 47 metres. For a quick estimate, a farmer rounds the radius to the nearest ten metres and uses π ≈ 3.14 to compute the area.

Question Parts

( a )

Using the rounded radius (50 m) and π ≈ 3.14, calculate the estimated area of the field. Give your answer to the nearest hundred square metres.

( b )

Calculate the exact area using the true radius 47 m and π ≈ 3.1416. Give the result to the nearest square metre.

( c )

Determine the percentage error of the estimate obtained in part (a) relative to the exact area found in part (b).

( d )

Improve the estimate by using π ≈ 22/7 and the actual radius 47 m. Compute this improved area (nearest square metre) and the new percentage error. Comment on which method gives a more accurate approximation.

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About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 8. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers Approximation .

View More Bece Model Questions Vol1 2024 Mathematics Questions More Bece Model Questions Vol1 Practice Questions Back to Questions

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