Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by ‘°‘. Degrees is not an SI unit to measure angles… Continue reading Degrees
Month: September 2022
Radians
When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the… Continue reading Radians
Radians to Degrees
Radians to degrees is a form of conversion used to convert the measurement of angles in geometry. To measure an angle, there are two different measuring systems. The two units used to measure an angle are radians and degrees. The unit radians is used mostly in the concept of trigonometry. The measure of angles can… Continue reading Radians to Degrees
Degrees and Radians
There are two commonly used units of measurement for angles. The more familiar unit of measurement is that of degrees and the other one is radians. In this lesson, we will learn how to measure angles in degrees, minutes and seconds how to convert an angle measured in degrees, minutes and seconds to decimal notation… Continue reading Degrees and Radians
Tricks To Remember Unit Circle And Trig Ratio
The following videos show some math tricks to help you remember the values of a unit circle and Trig Ratio of Special Angles in degrees (0, 30, 45, 60, 90) and also in radians. How to memorize the Unit Circle? The following diagrams give the exact values on the unit circle (degrees and radians). Scroll… Continue reading Tricks To Remember Unit Circle And Trig Ratio
Applications of Pythagoras Theorem
The applications of the Pythagoras theorem can be seen in our day-to-day life. Here are some of the applications of the Pythagoras theorem. Engineering and Construction fields Most architects use the technique of the Pythagorean theorem to find the unknown dimensions. When length or breadth are known it is very easy to calculate the diameter of a… Continue reading Applications of Pythagoras Theorem
Derivation of Pythagorean Theorem Formula
Consider a right-angled triangle ABC, right-angled at B. Draw a perpendicular BD meeting AC at D. In △ABD and △ACB, ∠A = ∠A (common) ∠ADB = ∠ABC (both are right angles) Thus, △ABD ∼ △ACB (by AA similarity criterion) Similarly, we can prove △BCD ∼ △ACB. Thus △ABD ∼ △ACB, Therefore, AD/AB = AB/AC. We… Continue reading Derivation of Pythagorean Theorem Formula
Pythagoras Theorem Proof
Pythagoras theorem can be proved in many ways. Some of the most common and widely used methods are the algebraic method and the similar triangles method. Let us have a look at both these methods individually in order to understand the proof of this theorem. Proof of Pythagorean Theorem Formula using the Algebraic Method The… Continue reading Pythagoras Theorem Proof
Pythagorean Theorem Formula
The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB and AC are the sides and BC is the hypotenuse of the triangle, then: BC2 = AB2 + AC2. In this case, AB is the base,… Continue reading Pythagorean Theorem Formula
History of Pythagoras Theorem
Pythagoras theorem was introduced by the Greek Mathematician Pythagoras of Samos. He was an ancient Ionian Greek philosopher. He formed a group of mathematicians who works religiously on numbers and lived like monks. Finally, the Greek Mathematician stated the theorem hence it was named after him as the “Pythagoras theorem.” Though it was introduced many… Continue reading History of Pythagoras Theorem