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Maths dictionary

What is circumference?

The circumference is the distance around a circle. It equals π times the diameter, or 2πr.

Definition

The circumference is the distance around a circle. It equals π times the diameter, or 2πr.

Example

A circle with radius 5 cm has circumference about 2 × 3.14 × 5 = 31.4 cm.

Tip

Diameter is twice the radius.

Practise it

Quick check: try these

Work each one out on paper, then tap the question to see the answer.

  1. Area of a circle with radius 8 cm (use 3.14):

    Answer: 200.96

  2. Area of a circle with radius 3 cm (use 3.14):

    Answer: 28.26

  3. Area of a circle with radius 5 cm (use 3.14):

    Answer: 78.5

  4. Circumference of a circle with radius 1 cm (use 3.14):

    Answer: 6.28

Learn it in depth

Circumference is part of Circles: Area and Circumference for Class 7: notes, formulas, solved examples with every step, common mistakes and ten practice questions with answers. Want a teacher to go through it with you? See Class 7 maths tuition.

Related words

Area, Perimeter

FAQ

Circumference: questions

What is circumference?

The circumference is the distance around a circle. It equals π times the diameter, or 2πr. A circle with radius 5 cm has circumference about 2 × 3.14 × 5 = 31.4 cm.

What is a common mistake with circumference?

Diameter is twice the radius.

Where do students learn circumference?

Circles: Area and Circumference is usually taught in Class 7, and the ideas come back in later classes. Chapter names and order differ by board and textbook, so follow your own textbook. We have a full page with notes, solved examples and practice questions.

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