Example 1: Using a Diagram
Question 1
Final answer
Calculated circumference = 4.744 cm (or 4.74 cm).
Mark scheme points
- M1 Correct substitution of the diameter into the formula, including conversion from millimetres to centimetres.
- M2 Correct calculation giving a circumference of 4.744 cm, or an accepted rounded value such as 4.7 cm or 4.74 cm.
Explanation
Convert the diameter to centimetres because the required answer is in centimetres:
15.10 mm = 1.510 cm
circumference = diameter × π
= 1.510 × 3.142
= 4.74442 cm
≈ 4.744 cm
Therefore, the circumference is 4.744 cm. A value of 4.74 cm is also suitably rounded.
Common mistakes
- Using 15.10 directly without converting from millimetres gives an answer in millimetres, not centimetres.
- Do not multiply by the diameter twice; the given formula is circumference = diameter × π.
- Include the unit cm in the final answer.