Composite Shapes & Shaded Regions

20 real-exam problems with diagrams. Circles, triangles, sectors & mixed figures.

CIRCLE
A = πr²
r = radius. Get r from diameter: r = d ÷ 2
SEMICIRCLE
A = ½πr²
Half a circle. θ = 180°
SECTOR
A = (θ/360)πr²
Fraction of circle by angle
TRIANGLE
A = ½bh
Height must be perpendicular to base
RECTANGLE
A = lw
Square: A = s²
SHADED
BIG − SMALL
Or: sum of visible parts

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