Therefore, 7π/12 radians is approximately equal to 105 degrees.įrequently Asked Questions on Radians to Degrees Formula:Īnswer: To convert radians to degrees, you can use the formula: Degrees = Radians × (180/π). Therefore, 5π/3 radians is approximately equal to 300 degrees.Įxample 4: Convert 7π/12 radians to degrees.ĭegrees = (7π/12) × (180/π) ≈ 105 degrees

Therefore, π/6 radians is approximately equal to 30 degrees.Įxample 3: Convert 5π/3 radians to degrees. Therefore, 3π/4 radians is approximately equal to 135 degrees.Įxample 2: Convert π/6 radians to degrees. Solved Examples on Radians to Degrees Formula:Įxample 1: Convert 3π/4 radians to degrees. Understanding the conversion between radians and degrees is essential for effectively working with angles in different mathematical disciplines. Radians offer advantages in simplifying calculations and working with trigonometric functions. It’s important to note that radians are considered a more natural and preferred unit of measuring angles in many mathematical contexts, particularly in trigonometry and calculus. These conversion formulas provide a convenient way to switch between radians and degrees, allowing you to work with angles in different units depending on your needs. Similarly, if you have an angle of 90 degrees and you want to convert it to radians, you can use the formula: Radians = (90 x π) / 180 ≈ 1.57 radians Using the formula, you can calculate: Degrees = (2 x 180) / π ≈ 114.59 degrees These formulas allow for the easy conversion between radians and degrees, which can be useful in various mathematical and scientific applications.įor example, let’s say you have an angle of 2 radians and you want to convert it to degrees. To convert from degrees to radians, you can use the following formula:Īpplications of Radians to Degrees Formula:

$convert radian to degree formula$

In this formula, “Degrees” represents the angle measure in degrees, “Radians” represents the angle measure in radians, and “π” represents the mathematical constant pi (approximately equal to 3.14159). To convert from radians to degrees, you can use the following formula:

Convert radian to degree formula