Introduction: Converting radians to degrees is a mathematical operation used in geometry, trigonometry, and other scientific fields. It allows angles measured in radians to be expressed in degrees.
Understanding Radians and Degrees:
Radians and degrees are both units used to measure angles. One complete revolution around a circle is 360 degrees or 2π radians. Formula for Conversion:
The conversion from radians to degrees is done using the formula: degrees = radians × (180 / π), where π (Pi) is approximately 3.14159. Example:
To convert π/2 radians to degrees: (π/2) × (180 / π) = 180/2 = 90 degrees. So, π/2 radians is equal to 90 degrees. Key Points to Remember:
180 degrees is equivalent to π radians. This conversion is frequently used in trigonometry, calculus, and various applications involving angle measurements.
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