Area of a Sector Example
23 October 2026
Understanding the different parts of a circle is an important skill for 11+ maths. This example shows how to find the area of a sector, using simple numbers and clear steps.
If your child is practising with resources like maths.com uk, this worked example will help them see exactly how to break down a question about sectors.
Worked example
Find the area of a sector with radius 7 cm and angle 90°.
Step 1: Work out the area of the whole circle.
Area = π × radius × radius
Area = 3.14 × 7 × 7 = 153.86 cm²
Step 2: The angle is 90°, which is one quarter of a full circle (360°).
Area of sector = 153.86 ÷ 4 = 38.465 cm²
The correct answer is 38.47 cm².
Now your child can spot when a question is about a sector of a circle, not the whole circle. They also know how to use the radius and angle to find the area.
Key insight: Questions like this often appear in 11+ exams, so practising similar problems will build confidence and accuracy.
