Higher June 2022 Paper 4 Q9
9 Points A, B and C lie on the circumference of a circle, centre O.
Not to scale
Angle ACB = 90°, AC = 6.4 m and BC = 3.7 m.
Work out the circumference of the circle.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 23.2 to 23.25… with correct working | 5 | “correct working” requires at least M1 and M1 or M2 from use of Pythagoras’ theorem or full and correct method using trigonometry | |
| M2 for \(\sqrt{3.7^2 + 6.4^2}\) or M1 for \(3.7^2 + 6.4^2\) | M2 implied by 7.39… | ||
| and | |||
| M2 for π × their 7.39…oe or M1 for 2 × π × their 7.39… or π × their 7.39… × \(\frac{1}{2}\) | their 7.39 includes 54.65 or \(\frac{1093}{20}\) | ||
| If 0 or 1 scored award SC2 for answer 23.2 to 23.25 with no working or insufficient working | |||