Circle Geometry Problems for 11+ Maths
19 October 2026
Understanding circles for 11+ Maths
Circle geometry problems appear regularly in the 11+ exam. Children are expected to know key circle terms and solve problems involving measurements and angles. This guide helps parents support their child in mastering circles for 11+.
Key circle terms explained
The radius is the distance from the centre of the circle to its edge. The diameter is twice the radius, stretching across the circle through the centre. The circumference is the distance around the circle. Area is the space inside the circle.
Typical 11+ circle problems
Common questions include finding the radius when given the diameter, calculating the circumference using the formula (C = π × diameter), or working out the area (A = π × radius × radius). Children may also be asked about angles in a circle, such as the angle at the centre or in a semicircle.
Worked example
If a circle has a diameter of 10 cm, its radius is 5 cm. The circumference is π × 10 = 31.4 cm (using π ≈ 3.14). The area is π × 5 × 5 = 78.5 cm².
Key insight: Break down each problem
Encourage your child to write down what is given and what is needed. Drawing a quick sketch of the circle and labelling the radius, diameter, and any angles can make the steps clearer.
Keep practising with variety
Circle geometry problems 11 plus style can cover simple calculations or combine skills with fractions, measures, or reasoning. Regular practice with different question types builds confidence and accuracy.
Explore more circle problems
For more targeted practice, try the 11+ Maths: Circles package available on our site. These interactive worksheets cover all the key skills needed for 11+ circle geometry.
