Posts Tagged ‘degrees’
Friday, November 20th, 2009
Interior Angles of Polygons
Description
A detailed tutorial on interior angles of polygons. Step by step tutorial including several examples of interior angles of polygons for reference.
Overview
There are two types of angles on a polygon: interior and exterior angles. In this tutorial, we will focus on interior angles. Interior angles are the angles that are found along the inside of the polygon. Interior angles may seem more difficult to find than exterior angles, because they don’t always add up to the same measurement of degrees. However, there is a formula that can be used to find the total measure of the interior angles. This formula is (n – 2) * 180 = D, where n is the number of sides on the polygon, and D is the total measure of the degrees.
Tags: 180, angle, concave, convex, degrees, formula, Geometry, Inside, interior, irregular, measure, negative, polygon, positive, regular
Posted in Geometry | No Comments »
Friday, November 20th, 2009
Exterior Angles of Polygons
Description
A detailed tutorial on exterior angles of polygons. Step by step tutorial including several examples of exterior angles of polygons for reference.
Overview
There are two types of angles on a polygon: interior and exterior angles. In this tutorial, we will focus on exterior angles. Exterior angles are the angles that are found when you draw a line of an angle on the outside of the polygon to form another angle. On a regular polygon, all the exterior angles should have the same measure. No matter what kind of polygon you have, the exterior angles will always add up to 360 degrees. Concave polygons are harder to find the measure of, because the exterior angles are negative, but they should still add up to 360 degrees. In order to find the measure of each individual exterior angle, simply use the formula 360 / n = D, where n is the number of sides, and D is the degree of each of the angles seperately. However, this formula only works for regular polygons, not irregular polygons.
Tags: 360, angle, concave, convex, degrees, exterior, formula, Geometry, irregular, measure, negative, Outside, polygon, positive, regular
Posted in Geometry | No Comments »
Thursday, November 19th, 2009
Overview of Vector Transformations
Description
A detailed tutorial of vector transformations. Step by step tutorial including several examples of vector transformations for reference.
Overview
Vector transformations are not as difficult as one mught think – they are done just like ordinary transformations, except in terms of vectors. Rotation is one of the main types of vector transformations, and is the most common one that is done. In order for a vector to be properly transformed, they must satisfy the orthogonality condition.
Tags: algebra, angle, common, condition, cosine, degrees, linear, orthogonality, properly, ray, rotation, solution, tranformations, vector
Posted in Algebra | No Comments »
Thursday, November 19th, 2009
Defining the Angles Between Vectors
Description
A detailed tutorial on how to define the angles between vectors. Step by step tutorial including several examples of angles between vectors for reference.
Overview
In general, it is easier to find the angle between 2D vectors, rather than 3D vectors. In order to define the angles between vectors, we need to use the dot product in conjunction with a few other functions. The angles between vectors can be expressed as angle = arccos(v1xv2), where v1xv2 is how the dot product is expressed.
Tags: 2D, 3D, absolute, algebra, angle, arccos, conjunction, cosine, define, degrees, dot, function, linear, magnitude, product, radians, value, vector
Posted in Algebra | 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 »
Friday, October 2nd, 2009
How to Find the Reference Angle
Description
A detailed tutorial on finding the reference angle. Step by step tutorial with several examples of how to find the reference angle for reference.
Overview
The reference angle is something you run into in precalculus and calculus. The reference angle is only used when working with radian measure, which while being more precise than degree notation, can sometimes be difficult to figure out and out into something you can use when solving an equation. The reference angle uses the unit circle, which has four points of 0, pi/2, pi, 3pi/2, and 2pi. When calculating an angle that is not exact, you place it on your unti circle and find the closest of those points. Subtract them. This is your reference angle.
Tags: Calculus, degrees, Math, pi, radians, reference, reference angle, subtract, unit circle
Posted in Calculus | No Comments »
Tuesday, September 29th, 2009
Identifying Reflexive Angles
Description
A detailed tutorial on identifying reflexive angles. Step by step tutorial including several examples of how to identify reflexive angles for reference.
Overview
Reflexive angles are angles that are facing in the wrong direction – another common term for them is a negative angle. An angle is really from a circle, and a circle is 360 degrees around. Let’s just say you draw a 30 degree angle. There is a negative angle that is along the flip side of it – a 330 degree angle. This angle is called reflexive not because it is an opposite angle, but because it is over 180 degrees and less than 360 degrees. So to identify a reflexive angle, remember it must be less than the full circle, but cannot be stretched out to a straight line (on a visual representation).
Tags: 180, addition, angle, angles, complimentary, degrees, Geometry, Math, negative, reflexive, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 29th, 2009
Identifying Supplementary Angles
Description
A detailed tutorial on identifying supplementary angles. Step by step tutorial including several examples of how to identify supplementary angles for reference.
Overview
Supplementary angles are angles which have the sum of their measurements add up to 180. If the two angles are adjacent, they should form a straight line, since 180 degrees has no true angle. Examples would be two 90 degree angles (right angles), or a 120 degree angle and a 60 degree angle. You can identify supplementary angles by adding up their measurements. If the answer is 180, the angles are supplementary.
Tags: 180, addition, angle, angles, complimentary, degrees, Geometry, Math, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 29th, 2009
Identifying Complimentary Angles
Description
A detailed tutorial on identifying complimentary angles. Step by step tutorial including several examples of how to identify complimentary angles for reference.
Overview
Two angles are considered complimetary if their sum adds up to 90. For example, angles measuring 60 degrees and 30 degrees would be complimentary, as would two angles both measuring 45 degrees. You can identify a complimentary angle by adding up the degrees. If the result is 90, then the angles are complimentary.
Tags: 90, addition, angle, angles, complimentary, degrees, Geometry, Math, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
An Overview of the Different Types of Triangles
Description
A detailed tutorial on the different types of triangles. Step by step tutorial including several examples of the different types of triangles for reference. Knowledge of the different types of triangles is required for all geometry classes.
Overview
Everyone knows what a triangle is, but a triangle is more than just “a triangle” – it could be one of several different types of triangles. Different types of triangles are identified by the different traits of their sides and their angles. The types are as follows:
Scalene Triangles: All sides and all angles are of different measures and lengths.
Right Triangles: One angle of the triangle is 90 degrees.
Isosceles Triangles: 2 sides and 2 angles have the same measures and lengths.
Equilateral Triangles: All side lengths are the same and all angles are 60 degrees.
Equiangular Triangles: All angles measure 60 degrees but all sides could have different lengths.
Tags: 60, 90, angle, degrees, equal, equiangular, equilateral, Geometry, isosceles, length, Math, measure, right, scalene, side, triangle
Posted in Geometry | No Comments »
