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4MA1/1H Jan 2023, Question 8: Using Trigonometry and Pythagoras Together

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks

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The question, in short

Triangle ABC sits in a semicircle with diameter AB, angle ACB = 90°, angle BAC = 50° and AC = 18 cm. Find the semicircle's perimeter to 2 significant figures.

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

Solution · 5 marks

  1. 118 / cos(50) = 28.003...
  2. 2pi * 28.003... / 2 = 43.9...
  3. 328.003... + 43.9... = 71.99
  4. 472

Answer72

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