Introduction:

Converting degrees to radians is a mathematical process used in various fields such as geometry, trigonometry, and physics. This conversion allows angles to be expressed in radians, which is based on the relationship between the arc length and radius of a circle.



Understanding Degrees and Radians:



Degrees and radians are two units for measuring angles.

One complete revolution around a circle is 360 degrees or 2π radians.

Formula for Conversion:



The conversion from degrees to radians is done using the formula: radians = degrees × (π / 180), where π (Pi) is approximately 3.14159.

Example:



To convert 90 degrees to radians:

90 × (π / 180) = 90π / 180 = π/2 radians.

So, 90 degrees is equal to π/2 radians.

Key Points to Remember:



π radians is equal to 180 degrees.

This conversion is crucial for calculations in trigonometry, calculus, and physics where radian measure is often more natural or convenient.