A cylinder with a radius of r and height h units has a volume of V cubic units. One of those simple formulas that tends to be forgotten.
A cylinder with a radius of r and height h units has a volume of V cubic units. One of those simple formulas that tends to be forgotten.
A simple adaptation of the Area of a Triangle formula (http://automathic.org/114) to calculate the volume (V) of a Triangular Prism (https://en.wikipedia.org/wiki/Triangular_prism) with a base of B, height of H, and length of L.
"Circumference is the linear distance around the outside of a closed curve or circular object." It can be calculated using the above, where C is the circumference using either the radius (r) or the diameter (d), depending on what's convenient.
More info can be found here: https://en.wikipedia.org/wiki/Circumference
If you need to find the Radius ($$r$$) of a circle, and only have the Area ($$A$$) to work with, you can use this handy formula.
If you have the Circumference, use this formula: www.automathic.org/152_radius-of-a-circle
Algebrarules.com is Automathic's latest project, where you can find the rules of algebra for Arithmetic, Exponents, and Radicals — with more to come. It's The Rules of Algebra, Sweet 'n Simple.
If you starting with a Mixed Number ($$a{b \over c}$$), use the above formula to convert it to an Improper Fraction (a fraction where the Numerator (top number) is greater than the Denominator (the bottom number))
If you know the lengths of the diagonals — d1 and d2 — of a kite, finding the area is simple with the formula above.
Otherwise, you can use this method:
$$$ Area = a * b * sin(c) $$$
Where $$a, b$$ are the lengths of two unequal sides, and $$c$$ is the angle between them ($$sin$$ being the trignometric function sine https://en.wikipedia.org/wiki/Sine)
The area of an ellipse can be found when you know the measures of the major and minor semi-axis, $$a$$ and $$b$$.
Image courtesy of Wikimedia commons, licensed as creative commons.
The surface area of a sphere can be found with the above formula, where $$r$$ is the radius. It can also be notated as $$$\pi d^2$$$ Where $$d$$ is the diameter.
To convert an Improper Fraction to a Mixed Number:
To convert the other way, use this formula: http://automathic.org/158_convert-a-mixed-number-to-an-improper-fraction
Formula for inductors in series where L1 is the inductance of the first inductor, L2 is the inductance of the second inductor, L3 is the inductance of the third inductor, and L t is the total of all the inductors in series
Formula for capacitors in parallel where C1 is the capacitance of the first capacitor, C2 is the capacitance of the second capacitor, C3 is the capacitance of the third capacitor, and C t is the total of all the capacitors in parallel
Formula for capacitors in series where C1 is the capacitance of the first capacitor, C2 is the capacitance of the second capacitor, C3 is the capacitance of the third capacitor, and C t is the total of all the capacitors in series
Hero's Theorem is used to determine the Area of a Triangle with the side lengths a b c when you do not have the Height and Base measurements.
The constant Pi is equal to ~ (3.141592653589397....), and represents the ratio between a circle's circumference (C) and diameter (d) .
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