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Calculating Size of an Area
SQUARE OR RECTANGLE
Length x Width = Area
Example: 40 ft. x 30 ft. = 1200 sq. ft.
___ft. L x ___ft. W = ___sq. ft. Area
CIRCLE
(EXACT)
pi x r x r =Area pi = 3.1412 r
Example: 3.1412 x 3 ft. x 3 ft. = 28.27 sq. ft.
3.1412 x ___ft. radius x ___ft. radius___sq. ft. Area
(within 5% accuracy)
0.8 x D x D = Area
D = Diameter
Example: 0.8 x 6 ft. x 6 ft. = 28.8 sq., ft.
0.8 x ___ft. Diameter x ___ft. Diameter___sq. ft. Area
OVALS OR EGG SHAPES
(within 5% accuracy)
0.8 LxW= Area
L = Length
W = Width
Example: 0.8 x 30 ft. x 70 ft. = 1,680 sq. ft.
0.8 x ___ft. Lx ___ft.W =___sq. ft. Area
TRIANGLE
0.5 x B x H = Area
B Base of Triangle
H Height of Triangle
Example: 0.5 x 75 ft. x 245 ft. = 9,185 sq. ft.
0.5 x ___ft. B x ___ft. H ___sq. ft. Area
TRAPEZOID
0.5 (A + B) x H = Area
A = One Parallel Side
B = Second Parallel Side
H = Height Perpendicular To Parallel Sides
Example: 0.5 x (200 ft. + 300 ft.) x 80 ft. = 20,000 sq. ft.
0.5 (___ft. A + ___ft. B) x ___ft. H = ___sq. ft. Area
UNUSUAL SHAPES
Divide area into sections of shapes you can calculate then add these for total area. Dividing the irregular shape into smaller divisions will result in more accurate calculations than using large areas. Another method is to average the lengths and widths to make a calculable shape, being as accurate as possible with these averages to lessen error.
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