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Area of Circles Flashcards
GCSE Mathematics (Edexcel) 1MA1
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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.
Radius
The distance from the centre of a circle to any point on its circumference.
Diameter
The distance across a circle through its centre. It is twice the radius (d = 2r).
π (pi)
A mathematical constant approximately equal to 3.14159, used in calculations involving circles.
Relationship between radius and diameter
The radius is half the diameter (r = d/2).
Units for area of a circle
The area is measured in square units, such as cm², m², etc.
Finding radius from area
Rearrange the formula A = πr² to r = √(A/π) to find the radius when the area is given.
Area of a semicircle
The area of a semicircle is half the area of a full circle: A = ½πr².
Area of a quarter circle
The area of a quarter circle is one-fourth the area of a full circle: A = ¼πr².
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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