Posts Tagged ‘center’
Thursday, November 19th, 2009
How to Determine the Center of a Circle
Description
A detailed tutorial on how to determine the center of a circle. Step by step tutorial including several examples of the center of a circle for reference.
Overview
The center of the circle is very easy to find. It is one of the endpoints of the radius and the midpoint of the diameter. The video shows you how to find it based on a series of accurate drawing. However, there is a mathematical way to find the center of the circle, which is also sometimes called the origin of the circle. Just use the midpoint formula with the diameter. If you have the radius just multiply it by two, because you cannot use the distance formula without already having the coordinates of the origin.
Tags: center, circle, coordinates, diameter, distance, endpoint, formula, mathematical, midpoint, origin, point, radius
Posted in Algebra | No Comments »
Thursday, November 19th, 2009
Finding the Altitude of a Triangle
Description
A detailed tutorial on how to find the altitude of a triangle. Step by step tutorial including several examples of how to find the altitude of a triangle for reference.
Overview
The altitude is just a way of saying the height of something. Typically, the term altitude is only used to refer to triangles. In triangles, the altitude is a little different from the height. Unlike the height, the altitude can be taken from three points of the triangle – it can be taken through the center of any of the three vertexes of the triangle. The altitude goes from the vertex to the line across from it, forming a right angle with that line. All three altitudes should intersect at a common point in the center of the triangle, known as the orthocenter.
Tags: altitude, angle, center, edge, Geometry, height, intersect, line, orthocenter, perpendicular, point, triangle, vertex
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
How to Find an Angle Bisector
Description
A detailed tutorial on how to find an angle bisector. Step by step tutorial including several examples on how to find angle bisectors for reference.
Overview
The bisector of an angle is the straight line or line segment that runs right down the center of the angle, splitting in into two rays and creating two angles, that are each half of the measure of the original angle. The bisector is always on the interior of an angle, and because of this it is sometimes called the internal angle bisector. Bisectors can be used with many things, but it is most common to find them used with angles, which is why other bisectors are simply called bisectors, while these are given the name of angle bisectors.
Tags: angle, bisector, center, Geometry, half, interior, internal, line, measure, original, ray, segment
Posted in Geometry | No Comments »
Friday, November 6th, 2009
Overview of Symmetry
Description
A detailed tutorial on symmetry and symmetric images. Step by step tutorial including several examples of symmetry for reference.
Overview
Symmetry is a very basic concept in geometry. It is similar to invariance. It is when something is equal to itself through both of its sides. If you compare the two sides of something and they match, then the object is said to be symmetric. When testing an image for symmetry, the easiest test is to draw an imaginary line down the middle. Then pretend to fold the image over. If the two sides are perfect matches of each other, then the image is symmetric.
Tags: arithmetic, center, equal, fold, Geometry, imaginary, invariance, line, match, middle, same, symmetric, symmetrical, symmetry
Posted in Arithmetic | No Comments »
Tuesday, October 13th, 2009
How to Locate the Origin of a Graph
Description
A detailed tutorial on locating the origin of a graph. Step by step tutorial including several examples of how to locate the origin for reference.
Overview
The origin in mathematical terms means the center. Typically, the term origin is used with a graph in the Cartesian coordinate system. When on a graph, the origin is found at the point (0, 0), where the x-axis and y-axis intersect. Other common things to hear an origin being attributed to are geometrical shapes, most often a circle.
Tags: arithmetic, axis, cartesian, center, circle, coordinate, geometrical, graph, intersect, Math, middle, origin, shape, x, y
Posted in Arithmetic | No Comments »
Friday, September 11th, 2009
How to Find the Equation of a Circle
Description
A detailed tutorial on how to find the equation of a circle. Step by step tutorial including several examples of how to find the equation of a circle for reference.
Overview
The equation of a circle is really the distance from the point (h, k) – the center of the circle – to the point (x, y) – a point somewhere on the outside of the circle. This distance will be called r. Having this information, we can now insert it into the distance formula:
r = sqrt[(x - h)^2 + (y - k)^2]
But because no one wants to solve a square root, we can simplify the formula and get rid of the square root entirely:
r^2 = (x – h)^2 + (y – k)^2
This is the general formula for a circle. You must always have the center and radius of a circle to be able to solve. However, even if you are not given these you can easily find them by using the distance and midpoint formulas with whatever points you are given.
Tags: algebra, center, circle, distance formula, equation, equation of a circle, Geometry, Math, midpoint, Outside, points, radius
Posted in Algebra | No Comments »
