User:Amit6/Sandbox

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Sandbox[edit]

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বাংলা এই ব্যবহারকারীর মাতৃভাষা।







V = \frac{1}{3} \pi r^2 h
V = \frac{4}{3} \pi r^3

Below the volume of circular frustum is given.

V = \frac{h}{3} \pi (a^2+a b+b^2)
S = \pi (a+b) \sqrt{h^2+a^2+b^2-2 a b}


Here V, S, h, a and b are the Volume, Surface area, height, top radius and bottom radius of the Circular Frustum respectively.

V = \frac{4}{3} \pi r^3
A = 4 \pi r^2 \,
S = 4πr2
V = ⅓πr2h


\sqrt{9}



<a href="blabla.htm">Blabla ?</a>



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a b c d e
Yellow c
a b c d e
b c d e
a b c
a b c d e


a b c d e
Yellow c
Black b c d e
c e




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Useful formulas[edit]

Common equations for area:
Shape Equation Variables
Square s^2\,\! s is the length of the side of the square.
Regular triangle \frac{\sqrt{3}}{4}s^2\,\! s is the length of one side of the triangle.
Regular hexagon \frac{3\sqrt{3}}{2}s^2\,\! s is the length of one side of the hexagon.
Regular octagon 2(1+\sqrt{2})s^2\,\! s is the length of one side of the octagon.
Any regular polygon \frac{1}{2}a p \,\! a is the apothem, or the radius of an inscribed circle in the polygon, and p is the perimeter of the polygon.
Any regular polygon \frac{P^2/n} {4 \cdot \tan(\pi/n)}\,\!        P is the Perimeter and n is the number of sides.
Any regular polygon (using degree measure) \frac{P^2/n} {4 \cdot \tan(180^\circ/n)}\,\!       P   is the Perimeter and n is the number of sides.
Rectangle lw \,\! l and w are the lengths of the rectangle's sides (length and width).
Parallelogram (in general) bh\,\! b and h are the length of the base and the length of the perpendicular height, respectively.
Rhombus \frac{1}{2}ab a and b are the lengths of the two diagonals of the rhombus.
Triangle \frac{1}{2}bh \,\! b and h are the base and altitude (measured perpendicular to the base), respectively.
Triangle \frac{1}{2} a b \sin C\,\! a and b are any two sides, and C is the angle between them.
Circle \pi r^2 ,\,\! or \pi d^2/4 \,\! r is the radius and d the diameter.
Ellipse \pi ab \,\! a and b are the semi-major and semi-minor axes, respectively.
Trapezoid \frac{1}{2}(a+b)h \,\! a and b are the parallel sides and h the distance (height) between the parallels.
Total surface area of a Cylinder 2\pi r^2+2\pi r h \,\! r and h are the radius and height, respectively.
Lateral surface area of a cylinder 2 \pi r h \,\! r and h are the radius and height, respectively.
Total surface area of a Cone \pi r (l + r) \,\! r and l are the radius and slant height, respectively.
Lateral surface area of a cone \pi r l \,\! r and l are the radius and slant height, respectively.
Total surface area of a Sphere 4\pi r^2\,\! or \pi d^2\,\! r and d are the radius and diameter, respectively.
Total surface area of an ellipsoid   See the article.
Circular sector \frac{1}{2} r^2 \theta \,\! r and \theta are the radius and angle (in radians), respectively.
Square to circular area conversion \frac{4}{\pi} A\,\! A is the area of the square in square units.
Circular to square area conversion \frac{1}{4} C\pi\,\! C is the area of the circle in circular units.





(\sqrt[3]{8})^3 = 8



Area.svg







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