Trigonometry (HSC SSCE Mathematics Advanced): Flashcards

📚Flashcards
Arc Length and Sector Area
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Definition of arc

A portion of a circle's circumference

Definition of sector

Region bounded by two radii and the arc between them

Arc length formula (radians)

l=rhetal = r heta

Arc length formula (degrees)

rac{ heta}{360} imes 2pi r

Sector area formula (radians)

A = rac{1}{2}r^2 heta

Sector area formula (degrees)

A = rac{ heta}{360} imes pi r^2

Sector perimeter formula (radians)

P=(heta+2)rP = ( heta + 2)r

What sector perimeter includes

Arc length plus two radii

Convert 180° to radians

pipi radians

Minor arc vs major arc

Shorter vs longer arc between two points

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