AQA · Mathematics · 8300
GCSE Maths: Perimeter: semi-circle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Perimeter: semi-circle (Corbettmaths Video 243), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What two components make up the perimeter of a semi-circle?
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The curved arc (half the circumference of a full circle) and the diameter (the straight edge).
What is the formula for the perimeter of a semi-circle with radius r?
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πr + 2r (or equivalently r(π + 2)). This is half the circumference plus the diameter.
What is the formula for the perimeter of a quarter-circle with radius r?
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(πr/2) + 2r. This is one-quarter of the circumference plus two radii (the two straight edges).
When finding the perimeter of a compound shape containing semi-circles, what must you remember about the straight edges?
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Only include the straight edges (diameters) that form part of the outer boundary of the shape. Internal diameters are not part of the perimeter.
A quarter-circle's perimeter includes the curved arc plus ?
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two radii
Why is the circumference of a full circle πd, but a semi-circle's curved arc is only πd/2?
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A semi-circle is exactly half of a full circle, so its curved portion is half the full circumference.
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