GCSE Maths Practice: circle-properties

Question 4 of 10

This question tests calculation of an arc length from a sector angle and radius.

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\( \begin{array}{l}\text{A circle has radius 10 cm.}\\ \text{Find the length of a 90° arc.}\end{array} \)

Choose one option:

Identify the fraction of the circle, then multiply by 2πr to find arc length.

Calculating arc length is a higher-level skill. Students must relate the central angle to the fraction of the circle's circumference. The formula L = (θ/360) × 2πr applies. Visualising the sector, marking the radius, and proportioning the circle by the angle helps with comprehension. Practising arc length calculations strengthens geometric reasoning, application of formulas, and understanding of proportional relationships in circles. Such skills are essential for exam questions and real-world applications like design, construction, and circular tracks.