Grade 6 Area of a semicircle Worksheets
Grade 6 practice: Halve the area of the full circle (π × r² ÷ 2) to find a semicircle's area. Choose a level below to generate a fresh set of questions.
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Understanding area of a semicircle
Area of a semicircle asks learners in Grades 6 to 7 to find the space inside half a circle. Since a semicircle is exactly half of a full circle, learners first find the whole circle’s area with π × r² (using π = 3.14), then divide by two. The radius is still measured from the centre of the straight edge to the curved edge.
For example, a semicircle with a radius of 6 in has area 3.14 × 6 × 6 ÷ 2 = 56.52 in². A common mistake is forgetting to halve the circle’s area, or halving the radius instead of the final area. Tip: work out the full circle’s area first by squaring the radius and multiplying by π, then divide that result by 2 — and remember the answer is in square units, since you are still measuring a flat region.
Sample area of a semicircle questions
These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.
- Find the area of a semicircle with radius 8 in. Use π = 3.14.
- Find the area of a semicircle with radius 7 in. Use π = 3.14.
- Find the area of a semicircle with radius 11 in. Use π = 3.14.
- Find the area of a semicircle with radius 12 in. Use π = 3.14.
Check the sample answers
- 100.48 in²
- 76.93 in²
- 189.97 in²
- 226.08 in²
Practice focus
Halve the area of the full circle (π × r² ÷ 2) to find a semicircle's area. Label diagrams carefully and explain the property you used.
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