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Area of Sectors Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Sector of a circle
A portion of a circle enclosed by two radii and the arc between them.
Formula for area of a sector
(θ / 360) × πr², where θ is the angle in degrees and r is the radius.
What does θ represent in the sector area formula?
θ represents the angle of the sector in degrees.
What does r represent in the sector area formula?
r represents the radius of the circle.
Unit for area of a sector
The unit is square units (e.g., cm², m²), depending on the radius' unit.
How to find θ if not given directly
Use other angle facts, such as angles in a full circle (360°) or angles in a semicircle (180°).
Area of a semicircle
(1/2) × πr² or (180 / 360) × πr².
Area of a quarter-circle
(1/4) × πr² or (90 / 360) × πr².
Steps to calculate area of a sector
1. Identify θ and r. 2. Substitute into the formula (θ / 360) × πr². 3. Simplify and calculate.
Common mistake in sector area calculations
Forgetting to divide θ by 360 or using the wrong value for r.
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