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Trigonometry

How do you convert radians to degrees?

How do you convert radians to degrees? Learn the core idea, common steps, and how to recognize this trigonometry concept in homework problems.

Problem Statement

How do you convert radians to degrees?

Step-by-step solution

Problem Statement

How do you convert radians to degrees?

Step-by-Step Explanation

Radians and degrees are two ways to measure angles, connected by pi radians equaling 180 degrees.

  1. Identify what the question is asking. In Trigonometry, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
  2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
  3. Work one step at a time and keep units, signs, and restrictions visible.
  4. Check whether the answer makes sense in the original context.

Key Formula

degrees=radians⋅180π\text{degrees}=\text{radians}\cdot\frac{180}{\pi}

Final Answer

Radians and degrees are two ways to measure angles, connected by pi radians equaling 180 degrees. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.