Measuring an Angle

  • Angle can be measured in ‘Degree’ or ‘Radian’. In the case of Degrees, the measurement goes from 0° to 360° while in the case of Radian measurement goes from 0 to π.
  • Smaller units of angle are minutes and seconds. Minute is represented by a single apostrophe(‘) while second is represented by a double apostrophe(”).

We should remember below mentioned relations among various units of angles:

  • π = 180°
  • 1° = 60′
  • 1′ = 60”

Degree of an Angle

To convert the Angle from Degree to Median, we should multiply the given angle(in degrees) by π/180. Let’s see one example

Example: Convert 90° to Radian

Solution:

90° × π/180 = π/2

Radian of an Angle

To convert the Angle from Radian to Degree we should multiply the given angle(in radians) by 180/π. Let’s see one example

Example: Convert π/2 to Degrees.

Solution:

(π/2) × (180/π) = 90°

Learn more, Degrees to Radians

Angles Definition, Types and Examples

An angle is a figure which is formed by two rays or lines that share a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two lines joined together are called the arms of the angle and the measure of the opening between them is the value of the angle between these two lines.

In this article, we will learn about the definition and parts of angles in Geometry, their representation, examples, and types like acute angle, right angle, obtuse angle, etc. along with FAQs.

Table of Content

  • Angle Definition
  • Parts of an Angle
  • Types of Angles
  • Types of Angles Based on Measurement
  • Positive and Negative Angles
  • Types of Angles in Pair
  • How to Measure an Angle?
  • Steps to Construct an Angle

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