Area of Circles Flashcards

GCSE Mathematics (Edexcel) 1MA1

Area of a circle formula

The area of a circle is calculated using the formula A = πr², where r is the radius.

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Terms in this set (10)

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Area of a circle formula

The area of a circle is calculated using the formula A = πr², where r is the radius.

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Radius

The distance from the centre of a circle to any point on its circumference.

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Diameter

The distance across a circle through its centre. It is twice the radius (d = 2r).

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π (pi)

A mathematical constant approximately equal to 3.14159, used in calculations involving circles.

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Relationship between radius and diameter

The radius is half the diameter (r = d/2).

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Units for area of a circle

The area is measured in square units, such as cm², m², etc.

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Finding radius from area

Rearrange the formula A = πr² to r = √(A/π) to find the radius when the area is given.

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Area of a semicircle

The area of a semicircle is half the area of a full circle: A = ½πr².

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Area of a quarter circle

The area of a quarter circle is one-fourth the area of a full circle: A = ¼πr².

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Key step in solving area problems

Always ensure the radius is used in the formula, not the diameter. If given the diameter, divide it by 2 to find the radius.

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