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Circumference of a Circle

The circumference of a circle is the length of its curved boundary.

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Main explanation

Teacher explanation

A circle has no straight sides, so its perimeter is called circumference. It depends on the radius or diameter and uses pi, written as π.

Example

For radius 7 cm, circumference = 2πr = 2 × 22/7 × 7 = 44 cm.

Simple analogy

Circumference is the circle's outside boundary.

Common confusion

Students often use πr² and calculate area when the question asks for circumference.

Exam tip

If the answer is boundary length, use 2πr or πd, not πr².

Answer writing and exam use

1-mark use

Write the exact meaning of circumference of a circle in one clean line.

2-mark use

Define circumference of a circle and add one example or condition.

3-mark use

Explain circumference of a circle, show the method or example, and mention the common mistake.

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