Grade 7 · Spatial Sense · Interactive practice

Circle and Volume Practice

Practise circumference, circle area, and prism or cylinder volume. Work through all three problems and use the feedback to improve your strategy.

All 3 questions

A circle has radius 5 cm. Using π ≈ 3.14, what is its circumference?

Choose an answer, then check your thinking.

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A circle has radius 5 cm. Using π ≈ 3.14, what is its circumference?

Answer: 31.4 cm

C = 2πr = 2 × 3.14 × 5 = 31.4 cm.
A circle has diameter 12 m. Using π ≈ 3.14, what is its area?

Answer: 113.04 m²

The radius is 6 m. A = πr² = 3.14 × 36 = 113.04 m².
A prism has base area 18 cm² and height 7 cm. What is its volume?

Answer: 126 cm³

Volume = base area × height = 18 × 7 = 126 cm³.

For parents and educators

Grade 7 Mathematics · Strand E: Spatial Sense

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E2.3 · Length

Use the relationships between the radius, diameter, and circumference of a circle to explain the formula for finding the circumference and to solve related problems.
E2.5 · Area

Show the relationships between the radius, diameter, and area of a circle, and use these relationships to develop the formula for measuring the area and to solve related problems.
E2.7 · Volume

Show that the volume of a prism or cylinder can be determined by multiplying the area of its base by its height, and apply this relationship to solve problems.