AQA · Mathematics · 8300
GCSE Maths: Area: sector
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Area: sector (Corbettmaths Video 46), 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 is a sector of a circle?
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A region bounded by two radii and an arc of the circle.
What is the formula for the area of a sector?
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Area = (θ/360) × πr², where θ is the angle in degrees and r is the radius.
What is a major sector?
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A sector with an angle greater than 180°, covering more than half the circle.
If a sector has area A = (θ/360) × πr² and you know A and r, how do you find θ?
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Rearrange to θ = (360 × A)/(πr²)
If a sector has area A = (θ/360) × πr² and you know A and θ, how do you find r?
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Rearrange to r² = (360 × A)/(θ × π), then take the square root: r = √[(360 × A)/(θ × π)]
When calculating sector area with an angle given in radians, what formula should you use?
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Area = (1/2) × r² × θ, where θ is in radians.
What does it mean to give an answer 'in terms of π'?
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Leave π as a symbol in the answer rather than substituting its decimal value (e.g., 5π cm² instead of 15.7... cm²).
How do you find the area of a region between two concentric sectors with the same angle?
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Calculate the area of the larger sector and subtract the area of the smaller sector.
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