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P6 Circles and curved boundaries

semicircle area — radius 21 cm

A semicircle has radius 21 cm. Find its area. Use π = .

A semicircle of radius 21 cm.r = 21 cm
One step of the worked solution to semicircle area — radius 21 cm, drawn in pencil.
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The pattern behind it: Circles and curved boundaries

Find the space inside a circle shape or the distance around its boundary.

In this one. Area measures the surface inside a shape. Use square centimetres, and take the appropriate fraction of the whole circle area.

Semicircle perimeterradius 7 cmarc22 cmstraight14 cm; total = 36 cm

How to spot it

'Area' asks for square centimetres from the radius. 'Circumference' or 'perimeter' on a curved edge asks for plain centimetres from the diameter instead.

Common mistake

Children give a circumference answer in square units, or find a circle's area without squaring the radius first, mixing up the two kinds of measurement.

Try one like it

Standard circle area — radius 14 cm A circle has radius 14 cm. Find its area. Use π = 22/7.
All 14 with this pattern →

The 33 problem patterns

All 33 patterns, one to a page — the 19 behind Primary 5 and 6 word problems, and the skills the younger years are built on. The bar model, how to spot it in the question, and the mistake children make. A booklet you can print. Free.

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