Angles are measured in both radians and degrees. Radians refer to the relationship between the radius of a circle and a segment of that circle's circumference, and radians are measured in relation to π or pi, which is a nonrepeating and nonterminating mathematical constant that begins 3.14. A full rotation around a circle is 2π, which is also 360 degrees. The relationship between π and degrees allows a 90-degree angle to be converted to radians.
Instructions
1. Divide the angle in degrees by 180 degrees. Dividing 90 degrees by 180 degrees results in 1/2.
2. Multiply the product of the previous step by π. 1/2 multiplied by π equals 1.571. 90 degrees equals 1.571 radians.
3. Browse to an online converter, such as the University of Texas radians and degrees page, to check your work. Enter "90" in the text box under the "Degrees" label and then click "Calculate." The amount in radians will appear in the text box under the "Radians" label.
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