Foundation November 2016 Unit 2 Q16
16. A square has a perimeter of 80 cm.
A circle fits exactly inside the square, as shown in the diagram.
Calculate the circumference of the circle.
Give your answer correct to 1 decimal place.
You must show your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Diameter of circle = ) 80 ÷4 | M1 | |
| = 20(cm) | A1 | May be seen on the diagram as a side or a diameter. Radius (or ‘½ a side’) =10; stated, used or seen on the diagram implies M1A1. |
| (Circumference =) π×20 or 2×π×10 or equivalent | M1 | F.T. ‘their derived diameter (not 10 and not 80) or derived radius(not 20 and not 80). |
| = 62·8(cm) | A1 | Must be given to 1dp. |