Sectors of circles (Edexcel GCSE Maths): Flashcards

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Sectors of circles
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Definition of a sector

A portion of a circle like a slice of pie

Two types of sectors

Minor sector and major sector

Minor sector

The smaller portion of the circle

Major sector

The larger portion of the circle

Radii (in context of sectors)

Two straight lines from centre to edge of circle

Fraction of circle represented by sector angle x°

x360°\frac{x}{360°}

Area of sector formula (angle x°, radius rr)

x360°×πr2\frac{x}{360°} \times \pi r^2

Arc (in a sector)

The curved edge of the sector

Arc length formula (angle x°, radius rr)

x360°×2πr\frac{x}{360°} \times 2\pi r

Perimeter of sector formula

Arc length + radius + radius (or arc + 2r)

Required unit for angles in sector formulas

Degrees (not radians)

What to add to arc length for perimeter

Both radii (2 × radius)

When to round in sector calculations

Only at the final answer for better accuracy

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