The Computer Graphics Companion Online Edition Damian Scattergood 1999-2001
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MENSURATION

SECTION A: AREAS AND PERIMETERS

Rectangle Area = l x b Perimeter = 2 (l + b)

Parallelogram Area = b x h or (base x perpendicular height)

Parallelogram Area = ab sin C

Triangle Area = base x h

Triangle Area = ab Sin C

Trapezium Area = (a + b) x h ( half the sum of the parallel sides multiplied by the perpendicular height )

Circle Area = p r2 Circumference = 2p r

Sector Area = p r2 x Length of Arc ab = x 2p r or Area = p r2,(where is in radians)

SECTION B: VOLUME AND SURFACE AREAS:

Cube

Rectangle Surface Area

Cylinder Volume = p r2h Surface Area = 2p rh + 2p r2 = 2p r (h + r)

Cone Volume = p r2h Total Surface Area = p r2 + p rl Curved Surface Area = p rl l = Slant height.

Sphere Volume = p r3 Surface Area = 4p r2

Hemisphere Volume = p r3 Surface Area = 2p r2 + p r2 = 3p r2

Frustrum of a Cone Volume = p h [ R2 + Rr +r2]