Mensuration Formulae
|
 |
= |
3.1416 |
 |
= |
9.8696 |
 |
= |
0.3183 |
 |
= |
1.7725 |
|
|
Circle |
 |
area |
= |
x radius squared |
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circumference |
= |
x diameter |
 |
area of the segment |
= |
area of sector - area of triangle |
 |
area of the sector |
= |
length of arc x ½ radius |
 |
length of arc |
= |
degrees in arc x radius x 0.01745 |
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|
|
Triangle |
 |
area |
= |
½ base x perpendicular height |
 |
|
|
Suare, Rhombus, Rhomboid |
 |
area |
= |
base x height |
 |
|
|
Ellipse |
 |
area |
= |
long axis x short axis x 0.7854 |
 |
|
|
Trapezium |
 |
area |
= |
height x (½ the sum of two parallel sides) |
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|
|
Cone |
 |
surface |
= |
½ (slant height x perimeter of base) + area of base |
 |
 |
volume |
= |
(area of base x perpendicular height) ÷ 3 |
|
 |
|
|
Cylinder |
 |
surface |
= |
(length x perimeter) + (area of
two ends) |
 |
volume |
= |
area of base x height |
 |
|
|
Sphere |
 |
surface |
= |
square of the diameter x π |
 |
volume |
= |
cube of diameter x 0.5236 |
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|
|
Pyramid |
 |
surface |
= |
½ (slant height x base perimeter)+ area of base |
 |
volume |
= |
(area of base x perpendicular height) ÷ 3 |
 |
|
|
Prism |
 |
surface |
= |
(length x perimeter) + (area of
two ends) |
 |
volume |
= |
area of base x height |
 |
|