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Circles (F)

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Circles (F)

Explore circle facts for GCSE Foundation. Learn radius, diameter, and π. Calculate circumference and area, then use them in real contexts like wheels, tracks, and pipes.

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Fascinating Fact:

In cycling, a wheel of diameter 70 cm has circumference πd ≈ 3.14 × 70 ≈ 219.8 cm, so one full turn moves the bike about 2.2 metres forward.

In GCSE Maths (Foundation), circle topics focus on radius, diameter, and π. You’ll calculate circumference using C = πd (or 2πr) and area using A = πr², then apply these in real problems.

Key Terms

Radius (r): The distance from the centre of a circle to its edge.
Diameter (d): A straight line across the circle through the centre. It equals 2r.
Circumference (C): The perimeter of a circle. Use C = πd or C = 2πr.

Frequently Asked Questions (Click to see answers)

What is the formula for the circumference of a circle?

The circumference is the distance around a circle. Use C = πd or C = 2πr, where d is diameter and r is radius.

How do you find the area of a circle in GCSE Maths?

Use A = πr². Measure or find the radius, square it, and multiply by π (about 3.14) to get the area in square units.

What’s the relationship between radius and diameter?

The diameter is twice the radius: d = 2r. Equally, the radius is half the diameter: r = d ÷ 2.

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You can find more about this topic by visiting BBC Bitesize - Circles, sectors and arcs

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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