Math Problem Statement

Convert 5pi/3 to degrees

Solution

To convert radians to degrees, you can use the conversion factor that 180180^\circ is equivalent to π\pi radians. The formula to convert radians to degrees is:

Degrees=Radians×180π\text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi}

Applying this to 5π3\frac{5\pi}{3} radians:

5π3×180π=5×1803=9003=300\frac{5\pi}{3} \times \frac{180^\circ}{\pi} = \frac{5 \times 180^\circ}{3} = \frac{900^\circ}{3} = 300^\circ

So, 5π3\frac{5\pi}{3} radians is equal to 300300^\circ.

Would you like more details on this conversion or have any further questions? Here are 5 related questions you might find useful:

  1. How do you convert π4\frac{\pi}{4} radians to degrees?
  2. What is the degree measure of π\pi radians?
  3. How many degrees are in 2π3\frac{2\pi}{3} radians?
  4. What is the formula to convert degrees to radians?
  5. How would you calculate the degree measure for 7π6\frac{7\pi}{6} radians?

Tip: Always ensure to use the correct conversion factor: multiply by 180π\frac{180^\circ}{\pi} to convert from radians to degrees.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Radians to Degrees Conversion

Formulas

Degrees = Radians × (180° / π)

Theorems

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Suitable Grade Level

Grades 9-12