What is Measuring Angles?
We can measure the angle using various geometrical tools such as a protractor and a compass. Using these tools we can easily find the exact measure of the angles. The protractor is best suited for measuring the various angles exactly as a compass can measure very few angles exactly with lots of difficulties. We can measure the angle in three categories, i.e. in,
- Degrees
- Radians
- Revolution
Degrees
We define degree as the unit of measuring the angles. A protractor measured the angle in degrees. It is denoted by the ‘°’ symbol. We divide a circle into 360° and thus a semi-circle has 180°. One complete rotation is also called 360°.
Radians
We also measure the angles in radians. It is the SI unit for measuring the angles. It is defined as the ratio of the length of the arc to the radius of the circle at a particular angle. We denote the angle using rad or c and is written as 2 radians or 2 rad or 2c. One complete rotation or 360° equals 2π rad. Thus, we can say that,
π rad = 180°
We can easily convert Degree to Radian or vice versa using the above formula.
Degrees and Radians Formula
As we know that a circle subtends 2π rad or 360° at its centre.
So,
2π radian = 360°
π radian = 180°
Now, we know that π = 22/7
1 radian = 180°/π = 57°16′(approx)
1° = π /180 = 0.0174(approx)
Formulas
- Angle in Radian = Angle in Degree × π/180
- Angle in Degree = Angle in Radian × 180/π
Learn more about Degree to Radian.
Measuring Angles
Measurement of angles is very important in geometry for solving various geometrical problems and comparing angles in various geometrical figures. We use various geometric tools such as a protractor, and a compass for measuring angles. There are various types of angles measured by us and before learning more about measuring angles we should first learn more about what is an angle.
Let’s learn more about Angles, measuring angles, degrees, radians, and others in detail in this article.
Table of Content
- What is an Angle?
- Types of Angles
- What is Measuring Angles?
- Degrees
- Radians
- Degrees and Radians Formula
- Revolution
- How to Measure Angles Using a Protractor?
- Steps for Measuring the Angle
- Measuring Angle Greater than 180 Degrees
- Properties of Angles
- Measuring Angles Examples
- FAQs on Measuring Angles