AQA · Mathematics · 8300
GCSE Maths: Circles: segment area
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Circles: segment area (Corbettmaths Video 63), 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 segment of a circle?
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The region between a chord and the arc it subtends.
What two geometric shapes must you find to calculate the area of a circle segment?
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A sector and a triangle. The segment area equals sector area minus triangle area.
What is a chord in a circle?
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A straight line segment whose endpoints both lie on the circle.
In circle segment problems, what angle is used to calculate both the sector area and triangle area?
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The angle at the centre of the circle (the angle subtended by the chord at the centre).
What is the formula for the area of a sector of a circle?
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Area = (θ/360) × πr² when θ is in degrees, or (1/2)r²θ when θ is in radians.
For a triangle with two sides of length r and an included angle θ, what is the area formula?
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Area = (1/2)r²sin(θ)
What is an arc of a circle?
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A portion of the circumference of the circle.
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