How to Convert Degrees to Radians | A Step-by-Step Guide with Example

Converting from Degree to Radian

To convert from degrees to radians, we use the following formula:

Radian = Degree × (π/180)

In this formula, π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter

To convert from degrees to radians, we use the following formula:

Radian = Degree × (π/180)

In this formula, π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. Its approximate value is 3.14159.

Let’s go through an example to illustrate the conversion:

Example: Convert 45 degrees to radians.

Radian = 45 × (π/180)
Radian = 45 × (3.14159/180)
Radian ≈ 0.78539

Therefore, 45 degrees is approximately equal to 0.78539 radians.

It’s important to note that radians are a unit of measurement used in trigonometry and calculus. They represent an angle that is formed by wrapping the arc of a circle around its center, where the arc length is equal to the radius of the circle. Radians are favored in these areas of mathematics because they simplify various calculations and have more convenient properties than degrees.

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