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Mathematics · Grades 7–10

Area of a circle

Use the radius, not the diameter. These exercises request the coefficient of π.

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The key idea

Use the radius, not the diameter. These exercises request the coefficient of π.

A = πr²

Worked examples

A circle has radius 27 cm. Its area is kπ cm². Find k.

A = π × 27² = 729π → k = 729

729

A circle has radius 10 cm. Its area is kπ cm². Find k.

A = π × 10² = 100π → k = 100

100

Try it yourself

  1. A circle has radius 57 cm. Its area is kπ cm². Find k.

  2. A circle has radius 7 cm. Its area is kπ cm². Find k.

Check your understanding

Answers and marking notes
  1. 3249

    A = π × 57² = 3249π → k = 3249

  2. 49

    A = π × 7² = 49π → k = 49

Further reading and review references

These are reference links, not copied exercises, institutional endorsement or proof of independent review.

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.