120 Deg to Rad – Easy Conversion Explained

120 degrees is approximately 2.0944 radians. Converting degrees to radians involves multiplying the degree value by π divided by 180. Therefore, 120 degrees equals about 2.0944 radians.

To convert 120 degrees to radians, we use the formula: radians = degrees × (π / 180). Since π is approximately 3.1416, multiplying 120 degrees by (3.1416 / 180) gives us the radian value. This conversion is necessary because radians measure angles based on the radius of a circle, offering a more natural way to express angles in mathematical formulas.

Conversion Tool

Enter value in deg:

Result in rad:

Conversion Formula

The formula to convert degrees to radians is radians = degrees × (π / 180). Since a full circle has 360 degrees, which is equivalent to 2π radians, dividing π by 180 converts degrees into radians. For example, 60 degrees becomes 60 × (π / 180) = π / 3 radians, which is approximately 1.0472. This works because the ratio of degrees to radians is fixed, based on the circle’s geometry, ensuring accurate conversions for any angle value.

Conversion Example

• Convert 45 degrees to radians:
  • Multiply 45 by π / 180:
  • 45 × (3.1416 / 180) = 0.7854 radians
  • Result: 0.7854 radians
• Convert 90 degrees to radians:
  • Multiply 90 by π / 180:
  • 90 × (3.1416 / 180) = 1.5708 radians
  • Result: 1.5708 radians
• Convert 150 degrees to radians:
  • Multiply 150 by π / 180:
  • 150 × (3.1416 / 180) = 2.6180 radians
  • Result: 2.6180 radians
• Convert 30 degrees to radians:
  • Multiply 30 by π / 180:
  • 30 × (3.1416 / 180) = 0.5236 radians
  • Result: 0.5236 radians
• Convert 135 degrees to radians:
  • Multiply 135 by π / 180:
  • 135 × (3.1416 / 180) = 2.3562 radians
  • Result: 2.3562 radians

Conversion Chart

Degrees	Radians
95.0	1.6581
100.0	1.7453
105.0	1.8326
110.0	1.9199
115.0	2.0071
120.0	2.0944
125.0	2.1817
130.0	2.2689
135.0	2.3562
140.0	2.4435
145.0	2.5307

This chart helps you quickly find the radian equivalents for degrees between 95 and 145. To use it, locate your degree value in the first column and read across to see the corresponding radian value in the second column. It makes angle conversions fast and easy without calculator use.

Related Conversion Questions

• How many radians are in 120 degrees?
• What is the radian measure for an angle of 120 degrees?
• Can I convert 120 degrees to radians manually?
• What is 120 deg expressed in radians using the formula?
• How do I calculate radians from degrees for 120 degrees?
• Is 2.0944 radians the same as 120 degrees?
• What is the conversion factor from degrees to radians for 120 degrees?

Conversion Definitions

deg

Deg, short for degrees, is a unit of angular measurement divided into 360 equal parts in a circle, used to specify the size of an angle. It provides a familiar way to measure angles, especially in navigation and geometry, based on dividing a circle into 360 parts.

rad

Rad, short for radians, is an angular measurement based on the radius of a circle. One radian equals the angle where the arc length equals the radius, making it a natural measure in mathematics and calculus, connecting linear and angular dimensions seamlessly.

Conversion FAQs

Why is radians considered a more natural measure for angles in mathematics?

Because radians relate directly to the circle’s radius and arc length, they simplify formulas in calculus and trigonometry. Unlike degrees, which divide the circle into 360 parts, radians provide a consistent, unitless measure that makes the mathematics more straightforward and elegant.

Can I convert any degree value to radians using the same formula?

Yes, the formula radians = degrees × (π / 180) applies universally for all degree inputs, whether fractional or whole. It allows for precise conversions, making it a fundamental tool in mathematical calculations involving angles.

Is there a quick way to estimate radians for degrees close to 120?

Yes, since 120 degrees equals approximately 2.0944 radians, small changes in degrees will proportionally change the radians value based on the same ratio. For quick estimates, multiplying the degree difference by π / 180 gives a close approximation without exact calculation.