Math Problem Statement

Convert the following degree measure to radian measure.   210degrees

Solution

To convert degrees to radians, use the formula:

Radians=Degrees×π180\text{Radians} = \text{Degrees} \times \frac{\pi}{180}

For 210 degrees:

210×π180=210π180=7π6210^\circ \times \frac{\pi}{180} = \frac{210\pi}{180} = \frac{7\pi}{6}

So, 210 degrees is equal to 7π6\frac{7\pi}{6} radians.

Would you like more details or have any questions?

Here are 5 related questions for practice:

  1. Convert 120 degrees to radians.
  2. Convert 315 degrees to radians.
  3. What is 2π3\frac{2\pi}{3} radians in degrees?
  4. Find the radian measure for 45 degrees.
  5. Convert 150-150^\circ to radians.

Tip: When converting degrees to radians, multiplying by π180\frac{\pi}{180} simplifies the process!

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Math Problem Analysis

Mathematical Concepts

Angle Conversion
Radians
Degrees

Formulas

Radians = Degrees × π / 180

Theorems

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Suitable Grade Level

Grades 9-12