Circle Calculator

Calculate a circle's area, circumference and diameter from its radius.

Your result

Area78.54
Circumference31.42
Diameter10

Updates as you type. Based on 2025/26 UK figures where relevant.

How this is worked out

Area = π × r². Circumference = 2 × π × r. Diameter = 2 × r.

Tips

  • Write down which number is the 'whole' before working out any percentage.
  • Round only at the end of a calculation, not in the middle.
  • Check answers roughly in your head – does the result look sensible?

Frequently asked questions

How does the circle Calculator work?

Area = π × r². Circumference = 2 × π × r. Diameter = 2 × r.

Are these suitable for GCSE revision?

Yes. The methods match those taught in UK schools, and each page explains the formula used.

How many decimal places are shown?

Most results show up to two decimal places. Use the rounding in your working as your teacher or exam board requires.

Can I use negative numbers?

Yes, where they make sense mathematically, such as percentage change.

This calculator gives an estimate for general information. It isn't financial, tax, legal or medical advice. Check official figures on GOV.UK or NHS.uk, or speak to a qualified adviser.