AQA · Mathematics · 8300
GCSE Maths: Circles: area
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Circles: area (Corbettmaths Video 59), 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 formula for the area of a circle is ?.
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A = πr²
If you know a circle's diameter, how do you find its radius?
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Divide the diameter by 2. (radius = diameter ÷ 2)
What does it mean to leave an answer 'in terms of π'?
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Write the answer with π as a symbol rather than using its decimal approximation (e.g., 25π cm² instead of 78.5 cm²).
If a circle has area A = πr², how do you find the radius when you know the area?
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Rearrange to r = √(A/π). Take the square root of the area divided by π.
What is the formula for the circumference of a circle?
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C = 2πr or C = πd, where r is radius and d is diameter.
How do you calculate the area of a semicircle?
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Use half the area of the full circle: A = (πr²)/2.
If a large circle has twice the diameter of a small circle, how many times larger is the large circle's area?
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4 times larger. (Area scales with the square of the radius/diameter.)
To find a shaded area between two shapes, what operation do you perform?
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Subtract the area of the inner/smaller shape from the area of the outer/larger shape.
If a circle touches all four sides of a square, how does the circle's diameter relate to the square's side length?
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The circle's diameter equals the square's side length.
If circle B has an area 4 times larger than circle A, what is the ratio of their radii?
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The ratio of radii is 1:2. (Since area scales with r², radius scales with √4 = 2.)
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