Lemmara logoLemmaraWorked solution

4MA1/1F Jan 2021, Question 24: Composite Perimeter, Area and Volume

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Find the perimeter of a semicircular path of width 2 m around an inner semicircle of radius 7 m, giving the answer to one decimal place.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 12 × π × 7 ÷ 2 = 7π
  2. 22 × π × 9 ÷ 2 = 9π
  3. 37π + 9π = 16π
  4. 416π ≈ 50.265
  5. 550.265 + 2 + 2 = 54.265
  6. 654.265 ≈ 54.3

Answer54.3

Stuck on a step? Read the free lesson: Composite Perimeter, Area and Volume

Practise more composite perimeter, area and volume questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on composite perimeter, area and volume

Also searched as: 4MA1 1F January 2021 · 4MA1/1F · 4ma1 jan21 1f · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.