Circles: Area & Circumference · Grades 7–8

Circle Area & Circumference Worksheets

Radius is centre-to-edge, diameter is all the way across, and mixing the two costs the answer. Circumference and area worksheets using π ≈ 3.14.

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What it is

A circle's circumference is the distance around it and its area is the space inside; both use π (≈ 3.14).

Why it matters

Circle measurement introduces π and irrational constants, and underpins rotation, waves, and countless real-world curved shapes.

How to do it

  1. Circumference = 2 × π × radius (or π × diameter).
  2. Area = π × radius².
  3. Substitute π ≈ 3.14 and compute.

Examples by level

  • Beginner
    r = 1 cm
    Circumference =6.28 cm
  • Intermediate
    r = 3 cm
    Area =28.26 cm²
  • Advanced
    r = 31 cm
    Area =3017.54 cm²

Examples are generated by the same engine as the worksheets, so they're always mathematically correct. Built to avoid repeats, not reshuffle the same handful of questions.

Common mistakes

  • Confusing radius and diameter.
  • Squaring in circumference (only area squares the radius).
  • Mixing up cm and cm² units.

Tips

  • The diameter is twice the radius.
  • Circumference is a length (cm); area is square (cm²).

For parents

Radius is centre-to-edge; diameter is all the way across (twice the radius).

For teachers

Keep circumference (2πr) and area (πr²) side by side so the squared radius stands out.

Key vocabulary

radius
centre to edge
circumference
distance around a circle
π (pi)
≈ 3.14

Frequently asked questions

How do you find circumference?
Multiply 2 × π × radius (or π × diameter), using π ≈ 3.14.
How do you find the area of a circle?
Area = π × radius², so square the radius first, then multiply by π.

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