Math Problem Statement

41°= krad?

Solution

To convert degrees to radians, use the following formula:

radians=degrees×(π180)\text{radians} = \text{degrees} \times \left( \frac{\pi}{180} \right)

For 41°, the conversion would be:

41=41×(π180)41^\circ = 41 \times \left( \frac{\pi}{180} \right)

41=41π180 radians41^\circ = \frac{41\pi}{180} \text{ radians}

So, 41=41π18041^\circ = \frac{41\pi}{180} radians or approximately 0.7140.714 radians.

Would you like more details or further explanations on this?


  1. How do you convert from radians back to degrees?
  2. What is the significance of the number π\pi in radians?
  3. Can angles in radians be used for trigonometric functions?
  4. How do you calculate the arc length of a circle using radians?
  5. Why are radians often preferred over degrees in calculus?

Tip: When working with radians, remember that π\pi radians equals 180°, making it easier to convert between the two units.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Angle Conversion

Formulas

radians = degrees × (π / 180)

Theorems

Conversion between degrees and radians

Suitable Grade Level

Grades 9-12