Example 1: Converting a pipe measurement to centimetres
June 2016 · Paper 1P · Question 10(a)(iii)
Question 1
A student measures the diameter of a circular pipe using a digital calliper.
The calliper shows that the diameter is 15.10 mm.
Calculate the circumference of the pipe using the formula
circumference = diameter × π
Give your answer in centimetres.
calculated circumference = ________ cm
Final answer
The circumference of the pipe is 4.74 cm.
Mark scheme points
- M1 Substitute the diameter in centimetres into circumference = diameter × π.
- M2 Calculate the circumference: 4.744 cm, accepted as 4.74 cm or 4.7 cm. A correct answer without working earns both marks; a power-of-ten error can earn a maximum of one mark.
Explanation
The diameter is given in millimetres, but the circumference is required in centimetres. Convert the diameter first, then multiply by π.
15.10 mm = 1.510 cm
circumference = 1.510 × 3.142
= 4.744 cm
≈ 4.74 cm
Common mistakes
- Forgetting to convert the diameter from millimetres to centimetres before giving the circumference in centimetres.
- Using the circumference formula correctly but omitting the final unit, cm.