Higher June 2022 Paper 6 Q2
2 The circumference of a circle is 23 cm.
Show that the area of the circle is 42.1 cm², correct to 3 significant figures. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 42.09[…] with correct working | 4 | M3 for \(\pi \times \left(\dfrac{23}{2\pi}\right)^2\) | Correct working requires evidence of at least M1 Do not accept starting with 42.1 and working backwards Candidates should use the π button or 3.142, accept 3.14 and \(\frac{22}{7}\) for max of M3 |
| OR M1 for \(23 \div 2\pi\) or \(23 = 2\pi r\) or \(23 = \pi d\) A1 for 3.66[…] M1 for \(\pi \times (\textit{their } 3.66)^2\) | M1 may be in two steps or seen as diameter here and diameter/2 in the area calculation their 3.66 must come from a calculation involving π | ||
| If 0 or 1 scored SC2 for 42.09[…] with no or insufficient working If 0 scored SC1 for 3.66[…], 42.08[…], 42.10[…], 42.11[…] or 168[…] with no or insufficient working | |||