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Annulus
Introduction Annulus (plural annuli or annuluses)The area between two concentric circles. The Latin word annulus, or annulus, which means "small ring, " is where the name "annulus" originates. Annular is the adjectival form (as in annular eclipse). The open annulus and the perforated plane are topologically equal to one another. An annulus is an interior space between two concentric circles or circles with more than two centres of rotation. This article will teach you about the several mathematical uses of the annulus, which has a ring-like shape. Examples from everyday life include finger rings, doughnuts, and more. For a better ...
Read MoreCentroid
Introduction The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. In this tutorial, we will learn about Centroid, and other centres of triangles and the relationship between them. What is Centroid? The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. It is a point that is determined by taking the arithmetic mean of all the points on the plane surface as its location. The term "centroid" also refers to the centre of gravity. Locating centroid of triangle − The point where the triangle's three medians intersect ...
Read MoreCos 0
Introduction Cos 0 has a value of 1. When the angle of a right triangle equals zero degrees, a number known as the cosine of angle zero degrees reflects the ratio of the length of the neighbouring side to the length of the hypotenuse. The precise value of the cosine of angle 0 degrees is equal to 1, and the cos of angle 0 degrees is expressed as cos (0) in the sexagesimal notation. Trigonometric Functions The trigonometric functions in mathematics are real functions that connect the angle of a right-angled triangle to the ratios of its two ...
Read MoreCurved Line
Introduction A curved line is simply that line which is not straight but has bent. We can see curves in our day to day lives. In fact, most of the things of nature are some or the other kinds of curves. A curve is defined as a curved line rather than a straight line. Ideally, straight lines have zero curvature, but curves have non-zero curvature, and are continuous and smooth. Curves are prominent shapes that we see all around us. You can find curves in works of art, ornaments, or everyday objects. Curves are shapes that appear all around us. ...
Read MoreTangent of a Circle
Introduction Tangent to a circle is line that touches circle at one point. A collection of points that are equidistant from a fixed point is called a circle whereas a straight group of points in a plane is called a line. In geometry, if a line in the same plane as that of the circle, touches the circumference of the circle outside the circle at exactly one point, that is, there is only one point of intersection between the two, then that line is called a tangent of the circle. Infinite number of such lines can be drawn from a ...
Read MorePrinciple of Mathematical Induction
Introduction Mathematical induction involves principles which are a specific technique to prove theorems and statements in algebra which are expressed in the form of n; where n belongs to natural numbers. In mathematical induction any statement is proved for n=1 and then for any variable. What is PMI? Mathematical Induction can be described as a tool to prove any statement A(n) which can hold for natural numbers n=1, 2, 3, 4, 5......n. Mathematical Induction is based on some principles called the principle of mathematical induction (PMI). In order to prove a result for a statement A(n), we can use the ...
Read MoreRectangular Pyramid
Introduction Rectangular Pyramid is a three-dimensional solid figure with a rectangular base and four triangular flat surfaces. There are many types of pyramids, such as the square pyramid, triangular pyramid, pentagonal pyramid, and hexagonal pyramid concerning the shapes of the base and the number of triangle surfaces. The surfaces of the pyramid are plane figures with straight lines, which can also be called polygons. If a solid figure is made up of polygons then it is called a polyhedron. Rectangular pyramids, or pyramids in general, are Polyhedrons. One of the common types of the pyramid is the rectangular pyramid. The ...
Read MoreDenominator
Introduction A denominator is the number that appears below the horizontal line. In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. The denominator is the fraction's divisor. In a fraction, the denominator is the number or integer that lies below the horizontal line. A fraction's numerator is above the line. If a denominator is equal to 0, the result is an indefinite value. In this tutorial, we will discuss the denominator, ...
Read MorePEMDAS
Introduction PEMDAS means the order of operations for mathematical expressions involving more than one mathematical operations. In an arithmetic expression containing more than one mathematical operator or a parenthesis, there is a preference in order of operations to be followed to get the correct result of the arithmetic expression the order of operations in a shortcut called PEMDAS. The change in the order of operations would change the result of the arithmetic expression. Therefore, the PEMDAS rule is strictly followed to get the correct result. In the United Kingdom, it is called BODMAS, in Canada, it is called BEDMAS. In ...
Read MorePolar Form of Complex Numbers
Introduction The polar form of a complex number $\mathrm{z\:=\:x\:+\:iy\:is\:r(\cos\theta\:+\:i\:\sin\theta)}$.In mathematics, there are various coordinate systems to represent real numbers. However, the complex number system can be represented in two ways, i.e., rectangular and polar coordinate systems. In this tutorial, we will learn about complex numbers, their representation in polar form, and some basic formulae related to complex numbers with solved examples. Complex Number The complex number is a category of a number system associated imaginary numbers. In other words, complex numbers are the summation of real and imaginary numbers. The imaginary numbers are nothing but the square root of the ...
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