Higher November 2018 Paper 2 Q13
13 The diagram shows a circle and an equilateral triangle.
One side of the equilateral triangle is a diameter of the circle.
The circle has a circumference of 44 cm.
Work out the area of the triangle.
Give your answer correct to 3 significant figures. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 84.9 | P1 | shows a process to find the radius or diameter eg \(44 = 2 \times \pi \times r\) or \(r = \dfrac{22}{\pi}\) or \(d = \dfrac{44}{\pi}\) or \(r = 7.0028\) or \(d = 14.0056..\) |
| P1 | (dep on P1) complete method to find the area eg \(\frac{1}{2} \times \text{``}d\text{''}^2 \times \sin 60\) oe, \(\frac{1}{2} \times 14 \times \tan 60\) oe, \(\frac{1}{2} \times 14 \times \sqrt{14^2 - 7^2}\) oe | |
| A1 | for answer in the range 84.8 to 85 |
Additional guidance
Allow \(r\) in the range 7 to 7.1 and \(d\) in the range 14 to 14.1
Could be shown on the diagram.
If the correct answer in the range is given in working and then rounded incorrectly award full marks.