Notes and Study material for Exams
Relation Between Arc Radius And Angle Arc length = [radius • central angle (radians)] Arc length = circumference • [central angle (degrees) ÷ 360] Proof of the trigonometric ratios of complementary allied angles Two acute angles are complementary to each other if their sum is equal to 90°. In a right … Read more
Distance Between Two Points Here is how to calculate the distance between two points when you know their coordinates: Let us call the two points A and B We can run lines down from A, and along from B, to make a Right Angled Triangle. And with a little help from … Read more
Relation between focal length and redius of curvature The focal length (f) of a lens is the distance between the center of the lens and the point at which the reflected Light, of a beam of light travelling parallel to the center line, meets the center line (principal axis). The radius of curvature (r) is … Read more
Relation between arc radius and angle Arc length = [radius • central angle (radians)] Arc length = circumference • [central angle (degrees) ÷ 360] Proof of the trigonometric ratios of complementary allied angles Two acute angles are complementary to each other if their sum is equal to 90°. In … Read more
MENSURATION Mensuration is the branch of mathematics which deals with the study of different geometrical shapes, their areas and Volume. In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume … Read more
Concepts of geometry Points, Lines & Planes The most fundamental geometric form is a point. It is represented as a dot with a capital alphabet which is its name. A line is a set of points and it extends in opposite directions up to infinity. It is represented by two points on … Read more
Area of triangle The area of triangles can be found by using the following formula: Area = Base × height / 2 The red line represents the length of the base (call it b if you want) and the blue line represents the length of the height. To get the area, … Read more
Distance between two points Here is how to calculate the distance between two points when you know their coordinates: Let us call the two points A and B We can run lines down from A, and along from B, to make a Right Angled Triangle. And with a little … Read more
Mensuration is the branch of mathematics which deals with the study of different geometrical shapes, their areas and Volume. In the broadest sense, it is all about the process of measurement. It is based on the use of algebraic equations and geometric calculations to provide measurement data regarding the width, depth and volume of a … Read more
Invention of Zero AryabhataAryabhata‘s Contributions Medicine and Healthcare Surgical Techniques Metallurgy and Engineering Architecture and Urban Planning 1. Invention of Zero Ancient Indian mathematicians made significant contributions to the field of mathematics, including the invention of the decimal system and the concept of zero. The concept of zero, initially represented by a dot or a … Read more