GCSE Maths Practice: circle-properties

Question 5 of 10

This question tests sector area calculation using radius and central angle.

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\( \begin{array}{l}\text{A circle has radius 20 cm.}\\ \text{Find the area of a 90° sector.}\end{array} \)

Choose one option:

Multiply π × r² by the fraction θ/360 to get sector area.

Students must calculate the area of a sector, a portion of a circle. The formula is A = (θ/360) × πr². Higher difficulty arises because it requires both π application and fractional proportioning of the circle. Practising sector problems strengthens understanding of proportional reasoning, geometric formulas, and real-life applications like designing circular sectors and components. Visualising the sector on the circle diagram and labelling the radius and angle enhances comprehension. Accurate calculations build confidence for more complex circle problems.