Year 8 - Circles - Free practice
Year 8 Circles Worksheets & Practice Tests
Area and circumference - the full Year 8 circle skill set.
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10 questions — 4 Foundation, 4 Standard, 2 Extension — with full worked solutions, calibrated to the Victorian Curriculum.
About this worksheet
Why we built it
Year 8 is where students apply pi to both circumference and area of circles, and start handling composite shapes (semicircles, quadrants, annulus). These worksheets give your student practice on each variation - exact, decimal and word-problem answers - so the formulas stay in long-term memory.
What's covered
Sub-skills your student will practise
- ✓Circumference using diameter or radius
- ✓Area of a circle from radius or diameter
- ✓Working back from an area or circumference to find the radius
- ✓Composite shapes (semicircles, quadrants, annulus)
- ✓Real-world circle problems (running tracks, gardens, pizzas)
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Frequently asked
Questions parents ask about circles
What's the difference between circumference and area of a circle?
Circumference is the distance around the circle (the perimeter). Area is the space inside. Different formulas: C = pi x d for circumference, A = pi x r^2 for area.
Why is the area formula pi r squared?
If you imagine slicing a circle into thin wedges and rearranging them, they approximate a rectangle with height equal to the radius and width equal to half the circumference. So area = r x (1/2 x 2 x pi x r) = pi x r^2.
What does Year 8 do with composite shapes?
Year 8 introduces composite shapes like semicircles, quadrants, and annulus (a ring shape). Students learn to add and subtract circle parts from rectangles or each other - a key skill for SAC questions.
Are exact (in terms of pi) answers acceptable?
Yes - many Year 8 questions specifically ask for an exact answer in terms of pi (e.g., 16 pi cm^2). Decimal answers are also accepted, usually to 1 or 2 decimal places.
Want a real plan for the term?
Worksheets are great for repetition. A Tuterly tutor can spot the specific moves your student keeps getting wrong and fix them in one or two sessions.
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Talk to us about Year 8 circles.
Call or message us with your student's year level and what's tripping them up - we'll point you to the right tutor.