Posts Tagged ‘circle’
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 »
Tuesday, November 17th, 2009
Overview of Half-Circles
Description
A detailed tutorial on equations of a half-circle. Step by step tutorial including several examples and an explanation of half-circles for reference.
Overview
A half-circle is truely half of a circle. If you take a circle and cut it in half, you will get a half circle. Because of this, the equations of the half-circle are very similar to the equations of a full circle – simply divide the equation by two. The only ones that you cannot find that way are the radius, diameter, and circumference. The radius and diameter do not change on a half-circle. There is no circumference on the half-circle, but if you need the circumference for another formula you can use the circumference of the whole circle of that half-circle.
Tags: area, basic, circle, circumference, coordinates, cut, diameter, divide, equation, Geometry, half, half-circle, pi, radius, shape, split, two, whole
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
An Overview of Pi
Description
A detailed tutorial on what pi is. Step by step tutorial including several examples of what pi is for reference.
Overview
Pi is a special number in mathematics. It is the ratio of a circle’s circumference to its diameter. No matter what size circle you use, your answer will always be pi, showing that all circles are proportional to one another. Pi is denoted by the Greek letter pi, which looks a little bit like an “n”. The numerical value of pi is 3.1415926535… but is typically shortened to the simple 3.14. Pi is very important in math and is used in all equations dealing with circles.
Tags: 3.14, arithmetic, circle, circumference, denoted, diameter, equations, Greek, letter, pi, propertional, radius, ration, size, value
Posted in Arithmetic | No Comments »
Tuesday, November 10th, 2009
How to Make a Circle Graph
Description
A detailed tutorial on how to make circle graphs. Step by step tutorial including several examples of how to make circle graphs for reference.
Overview
Circle graphs, also referred to as pi charts to avoid confusing them with graphs on the coordinate plane, are graphs in the shape of a circle that deal with a specific set of data. Circle graphs deal with percentages of a whole. The title of the circle graph is your whole, and the circle represents the whole. Then the circle is cut off into different percentages, and each is labelled with the proper category and exactly what percent it is meant to represent. Very often each section of the circle will be a different color to avoid confusion.
Tags: algebra, categories, category, chart, circle, color, data, different, graph, label, percent, percentage. title, pi, represent, section, set
Posted in Algebra | No Comments »
Friday, October 16th, 2009
How to Find Values of Quadrantal Angles
Description
A detailed tutorial on how to find values of quadrantal angles. Step by step tutorial including several examples of finding values of quadrantal angles for reference.
Overview
Quadrantal angles have a terminal side coinciding with a coordinate axis. A trigonometric functional value of such an angle can be determined by the coordinates of the point where the terminal side intersects the unit circle. When on the unit circle, the Cartesian coordinate (x, y) cooresponds to (cos(&), sin(&)) on the unit circle.
Tags: angle, axis, circle, coordinate, cosine, functional, Geometry, Math, point, quadrantal, sine, terminal, trigonometric, unit, value, x, y
Posted in Geometry | No Comments »
Friday, October 16th, 2009
How to Identify Coterminal Angles
Description
A detailed tutorial on identifying coterminal angles. Step by step tutorial including several examples of how to identify coterminal angles for reference.
Overview
Coterminal angles are opposite angles that when put together share a terminal side, or common side, and therefore create a circle. One of the angles is positive, and the other angle is negative – a negative angle is one that is formed from the opposite side and using the second scale on a protractor. The absolute value of the first angle plus the absolute value of the second angle must add up to 360 degrees in order for them to be coterminal angles.
Tags: 360, absolute value, angle, circle, coterminal, degrees, Geometry, Math, negative, opposite, positive, protractor, side, terminal
Posted in Geometry | 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, October 9th, 2009
Witch of Agnesi Explained
Description
A detailed tutorial of the Witch of Agnesi. Step by step tutorial including a visual example of the Witch of Agnesi for reference.
Overview
The Witch of Agnesi is actually a curve. This curve can be a circle, or it can be a regular curve. The movement of the curve flows up and down, and the curve itself changes as it moves. This curve is defined by the Cartesian equation 
.
It is called the Witch of Agnesi by a simple mistranslation into English. This curve was named in Italian – la versiera di Agnesi, which means the Curve of Agnesi. When translating the name, “la versiera” was accidentally read as “l’awersiera”, which means a woman who is contrary to God, or a demon or witch. Hence it was called the Witch of Agnesi.
Tags: Calculus, cartesian, circle, curve, equation, l'awersiera di Agnesi, la versiera di Agnesi, Maria Agnesi, Math, Witch of Agnesi, Witch of Maria Agnesi
Posted in Calculus | No Comments »
Tuesday, October 6th, 2009
Plotting Points in the Polar Coordinate System
Description
A detailed tutorial on plotting points in the polar coordinate system. Step by step tutorial including several examples of how to plot points on the polar coordinate system for reference.
Overview
By this point, everyone should know how to plot points on a normal graph. But what about a circular graph? This circular graph is called the polar coordinate system or the polar plane. Instead of using the points (x, y), the polar coordinate system uses the points (r, theta). Theta is a greek letter that looks like a zero with a horizontal line drawn through the center. Most of the points you will be finding for the polar coordinate system will be used with trigonometric functions – sine, cosine, and tangent. Graphing occurs in about the same way as it would on a normal graph – just match up the points, even if they are on a circle.
Tags: Calculus, circle, coordinate, cosine, function, functions, graph, Math, points, polar, r, sine, system, tangent, theta, trig, trigonometric, x, y
Posted in Calculus | No Comments »
Friday, October 2nd, 2009
Identifying Subtended Angles
Description
A detailed tutorial on identifyinf subtended angles. Step by step tutorial including several examples of how to identify subtended angles for reference.
Overview
A subtended angle normally refers to an angle that is subtended by an arc. This means that the rays that make up the angle pass through the endpoints of the arc. It could also mean that an angle’s vertex point is point on the circumference of a circle. The definition typically varies a little, depending on context. Another form of a subtended angle is when a solid object subtends a solid angle.
Tags: angles, arc, circle, circumference, endpoint, Geometry, Math, ray, solid, subtended, subtends, vertex
Posted in Geometry | No Comments »
