# User:Amit6/Sandbox

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# Sandbox

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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

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.

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

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