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P6 Circles and curved boundaries

composite perimeter — radius 14 cm

A 36 cm by 28 cm rectangle has a semicircle attached externally to each of its two opposite 28 cm sides. Find the outside perimeter. Use π = .

A rectangle of length 36 cm and width 28 cm, with semicircles attached outside its two opposite 28 cm sides.36 cm28 cm wide
One step of the worked solution to composite perimeter — radius 14 cm, drawn in pencil.
6 steps, 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. Trace only the outside boundary. The shared diameters are inside the shape, so they are not part of its perimeter.

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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