Posts Tagged ‘regular’
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 »
Tuesday, November 17th, 2009
Overview of Sides and Bases of Polyhedrons
Description
A detailed tutorial on sides and bases of polyhedrons. Step by step tutorial including several examples of sides and bases of polyhedrons for reference.
Overview
Sides and bases of polyhedrons are more commonly known as faces of 3D geometrical shapes. Typically on a polyhedron you will have 2 bases and several sides, although there are exceptions to that rule. The cylinder only has one side, and the triangular prism, or pyramid, only has one base. You can identify the base because it is a unique shape on the polyhedron. Everything else is a side. This only applied to your normal polyhedron shapes such as prisms.
Tags: 3D, bases, cylinder, faces, figure, geometrical, Geometry, polyhedron, prism, rectangular, regular, shape, sides, triangular, unique
Posted in Geometry | No Comments »
Friday, November 13th, 2009
An Overview of Composite Figures
Description
A detailed tutorial on what composite figures are. Step by step tutorial including several examples of how to identify composite figures for reference.
Overview
A composite figure is any figure that can be split into more than one shape. Hardly any regular shapes are considered to be composite shapes. The only one is a regular trapezoid – it can be split into three shapes, two triangles and a rectangle. You could technically consider a rectangle to be a composite figure – you can split it into squares or smaller rectangles – but since it doesn’t need to be split into different shapes to solve for area, then it is not considered a composite figure.
Tags: 2D, area, composite, different, figure, flat, geometrical, Geometry, rectangle, regular, shape, smaller, split, square, trapezoid, triangle, volume
Posted in Geometry | No Comments »
Friday, November 13th, 2009
Overview of Polyhedrons
Description
A detailed tutorial on polyhedrons. Step by step tutorial including several examples and a visual example of polyhedrons for reference.
Overview
Mathematicians have not yet decided what truely makes something a polyhedron, but in general they are accepted to be some 3D geometrical figure that has sides or faces, and usually at least one base. There are regular polyhedrons, which have all the same polygon making up their faces, and irregular polyhedrons – which are actually more common – where there are 2 or more shapes in them.
Tags: base, common, decagon, face, figure, geometrical, Geometry, hexagon, irregular, pentagon, polygon, polyhedron, regular, shape, side, square, triangle
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
Identifying Convex Polygons
Description
A detailed tutorial on identifying convex polygons. Step by step tutorial including several examples of how to identify convex polygons for reference.
Overview
Convex polygons are polygons that seem to curve inwards. They may appear rather big compared to concave polygons. The best way to identify a convex polygon is to check for a reflex angle. A reflex angle looks like an obtuse angle, or an arrow cutting into the figure. Concave polygons have reflex angles, convex polygons don’t. All regular polygons are considered convex polygons.
Tags: angle, big, convex, curve, Geometry, obtuse, out, polygon, reflex, regular
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
How to Identify Decagons
Description
A detailed tutorial on how to identify decagons. Step by step tutorial including several examples of identifying decagons for reference.
Overview
A decagon is any polygon that has ten sides. Decagons can either be regular or irregular. Regular decagons are close to the shape of a circle with 10 straight edges. Irregular decagons are any other shape that has ten sides, provided that it is still considered a polygon.
Tags: 10, decagon, Geometry, irregular, polygon, regular, shape, sides, ten
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
How to Identify Nonagons
Description
A detailed tutorial on how to identify nonagons. Step by step tutorial including several examples of identifying nonagons for reference.
Overview
A nonagon is any polygon that has nine sides. Nonagons can either be regular or irregular. Regular nonagons are close to the shape of a circle with 9 straight edges. Irregular nonagons are any other shape that has nine sides, provided that it is still considered a polygon.
Tags: 9, Geometry, irregular, nine, nonagon, polygon, regular, shape, sides
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
How to Identify Octagons
Description
A detailed tutorial on how to identify octagons. Step by step tutorial including several examples of identifying octagons for reference.
Overview
An octagon is any polygon that has eight sides. Octagons can either be regular or irregular. Regular octagons are close to the shape of a circle with 8 straight edges. Irregular octagons are any other shape that has eight sides, provided that it is still considered a polygon.
Tags: 8, eight, Geometry, irregular, octagon, polygon, regular, shape, sides
Posted in Geometry | No Comments »
Tuesday, November 10th, 2009
How to Identify Heptagons
Description
A detailed tutorial on how to identify heptagons. Step by step tutorial including several examples of identifying heptagons for reference.
Overview
A heptagon is any polygon that has seven sides. Heptagons can either be regular or irregular. Regular heptagons are close to the shape of a circle with 7 straight edges. Irregular heptagons are any other shape that has seven sides, provided that it is still considered a polygon.
Tags: 7, Geometry, heptagon, irregular, polygon, regular, seven, shape, sides
Posted in Geometry | No Comments »
