relation between arc, radius and central angle. Proof of the trigonometrical ratios of complementary angles

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

area of triangle, condition of co-linearity of three points. Trigonometry – Measure of angles in the sexagesimal. contesimal and circular systems

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, just multiply the value … Read more

Relation Between Arc Radius And Angle

 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

Concepts Of Geometry

 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

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 of a … Read more

Mathematics and Astronomy

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

Madhavacharya

Madhavacharya: The Architect of Infinite Series and the Dawn of Modern Mathematics Madhavacharya, a 14th-century Indian mathematician and astronomer, stands as a towering figure in the history of mathematics. He is widely recognized as the founder of the Kerala School of Astronomy and Mathematics, a vibrant intellectual hub that flourished for centuries and made groundbreaking … Read more

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