AQA · Mathematics · 8300
GCSE Maths: Area: semi-circle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions and answers for Area: semi-circle (Corbettmaths Video 47), 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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The area of a semicircle is ? the area of a full circle.
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half
What is the formula for the area of a semicircle with radius r?
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A = (πr²)/2 or A = ½πr²
What is the formula for the area of a quarter-circle with radius r?
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A = (πr²)/4 or A = ¼πr²
If a semicircle has a diameter of d, what radius should be used in the area formula?
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r = d/2 (radius is half the diameter)
What does it mean to leave an answer 'in terms of π'?
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Keep π as a symbol in the answer rather than calculating its numerical value (e.g., 18π cm² instead of 56.5 cm²)
In a circle area problem, if the width of a semicircular window is given as 3m, what is the radius?
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1.5m (the width is the diameter, so radius = 3/2 = 1.5m)
What is a segment in circle geometry?
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The region between a chord and the arc it cuts off
How do you find the area of a segment formed by a chord in a quarter-circle?
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Subtract the area of the triangle formed by the chord and radii from the area of the quarter-circle
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