Geometry: Difference between revisions
volume of a sphere and a cone |
→Area of a triangle: equilateral triangle |
||
| (9 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
= Area and perimeters = | |||
== Circumference of a circle == | |||
<math>C = 2 \pi r</math> | |||
== Area of a circle == | |||
<math>A = \pi r^2</math> | |||
== Perimeter of a triangle == | |||
<math>P = a + b + c</math> | |||
[[File:Triangle-math.png|frameless]] | |||
== Area of a triangle == | |||
<math>A = \frac{1}{2} bh</math> | |||
* The area of an equilateral triangle is | |||
<math>A = \frac{1}{4}s^2\sqrt{3}</math> | |||
= Volume and surface area = | = Volume and surface area = | ||
== Volume of a cube == | |||
<math>v(x) = x^3</math> | |||
== Surface area of a sphere == | |||
<math>A(r) = 4\pi r^2</math> | |||
== Volume of a sphere == | == Volume of a sphere == | ||
| Line 12: | Line 44: | ||
where ''r'' is the radius of the base, and ''h'' is the height of a cone | where ''r'' is the radius of the base, and ''h'' is the height of a cone | ||
== Volume of a cylinder == | |||
This only applies to a right cylinder. | |||
<math>v(r) = {\pi}r^2h</math> | |||
where r is the radius of the base, and h is the height of a cylinder | |||
Latest revision as of 12:54, 24 June 2017
Area and perimeters
Circumference of a circle
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle C = 2 \pi r}
Area of a circle
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle A = \pi r^2}
Perimeter of a triangle
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle P = a + b + c}
Area of a triangle
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle A = \frac{1}{2} bh}
- The area of an equilateral triangle is
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle A = \frac{1}{4}s^2\sqrt{3}}
Volume and surface area
Volume of a cube
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle v(x) = x^3}
Surface area of a sphere
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle A(r) = 4\pi r^2}
Volume of a sphere
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle v(r) = \frac{4}{3}\pi r^3}
where r is the radius of a sphere
Volume of a cone
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle v(r) = \frac{1}{3}\pi r^2 h}
where r is the radius of the base, and h is the height of a cone
Volume of a cylinder
This only applies to a right cylinder.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle v(r) = {\pi}r^2h}
where r is the radius of the base, and h is the height of a cylinder