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Listed below are a basic list of the most common area and perimeter formulas required for 2 dimensional shapes or plane figures.
AREA FORMULA FOR PLANE FIGURES:
| Shape |
Perimeter |
Area |
Square
|
Perimeter = 4 x S |
Area = S x S |
Rectangle
|
Perimeter = 2 x ( L + W ) |
Area = L x W |
Parallelogram
|
Perimeter = 2 x ( B + S ) |
Area = B x H |
Triangle - Case 1
|
Perimeter = 3 x B |
Area = ( B x H ) / 2 |
Triangle - Case 2
|
Perimeter = S1 + S + B |
Area = ( B x H ) / 2 |
Trapezium
|
Perimeter = B + S + S1 + T |
Area = (( B + T ) x H ) / 2 |
Trapezoid
|
Perimeter = B + S + S1 + T |
Area = ((B x H1) + (B x H2)) / 2 |
Circle
|
Perimeter =  d
Perimeter = 2r |
Area = r2
Area = (d2) / 4 |
Annulus (Hollow Circle)
|
|
Area = (R + r) x (R - r) |
Sector of Circle
|
Perimeter = 2r + a
where;
a = r x q / 57,3
( q = degrees) |
Area = (a x r) / 2, or
Area = ( x q x r2 ) / 360 |
Segment of Circle
|
|
Area = S - T
where;
S = area of sector
T = area of triangle |
Ellipse
|
Perimeter = (A + a) approx. |
Area = 0.7854 x ( A x a ) or
Area = ( A x a ) |
Bell mouth / Cove
|
Perimeter = 3.57 x r |
Area = 0.2146 x r x r, or
Area = r2 - (( x r2) / 4) |
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