How to Convert Degrees to Radians: Step-by-Step Guide

Learn how to convert degrees to radians using a simple formula. Get clear examples and explanations.

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To convert degrees to radians, use the formula: radians = degrees * (π/180). This involves multiplying the degree value by pi (approximately 3.14159) and then dividing by 180. For example, to convert 90 degrees to radians, you calculate 90 * (π/180) = π/2, or approximately 1.57 radians.

FAQs & Answers

  1. What is the formula for converting degrees to radians? The formula is radians = degrees * (π/180).
  2. How do you convert 180 degrees to radians? To convert 180 degrees to radians, multiply by π/180 to get π radians.
  3. Why do we use radians instead of degrees? Radians provide a more natural way to measure angles in mathematical contexts, especially in calculus.