To convert an angle from degrees to radians, you can use the following formula:
Radians = Degrees × (π / 180)
For example, let’s say you have an angle of x degrees. To find its radian measure, you simply multiply x by π / 180. This conversion is essential because many mathematical functions and applications, especially in fields like physics and engineering, often use radians to calculate angles.
Let’s break down how this works with a couple of examples:
- Example 1: Converting 90 degrees to radians:
- 90 degrees × (π / 180) = (90π / 180) = π / 2
- So, 90 degrees is equal to π/2 radians.
- Example 2: Converting 180 degrees to radians:
- 180 degrees × (π / 180) = (180π / 180) = π
- Thus, 180 degrees is equal to π radians.
In summary, to convert any angle from degrees to radians, remember to multiply the degree value by π / 180. This simple conversion is a fundamental skill in various mathematical applications, so it’s worth mastering!