4MA1/1FR Jan 2023, Question 25: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A circle has centre O, chord RT = 12 cm with midpoint M, and angle ROM = 52°. Calculate the circle's area to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1RM = 12 ÷ 2 = 6 cm and angle OMR = 90°
- 2sin 52° = 6 ÷ r, so r = 6 ÷ sin 52° = 7.614 cm
- 3Area = π × 7.614² = 182.1… = 182
Answer182
Stuck on a step? Read the free lesson: Using Trigonometry and Pythagoras Together
Practise more using trigonometry and pythagoras together questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on using trigonometry and pythagoras together
Also searched as: 4MA1 1FR January 2023 · 4MA1/1FR · 4ma1 jan23 1fr · question 25.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.