Question

Which of the following radian measures is equal to 540 degrees?
(The number of degrees of arc in a circle is 360. The number of radians of arc in a circle is 2 pi)
A. 3 pi radians
B. 6 pi radians
C. 9 pi radians
D. 12 pi radians

Answer 1

To convert degrees to radians, you can use the formula:

\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]

For 540 degrees:

\[
\text{radians} = 540 \times \frac{\pi}{180}
\]

Now, simplify the fraction:

\[
540 \div 180 = 3
\]

So:

\[
\text{radians} = 3\pi
\]

Therefore, the radian measure that is equal to 540 degrees is:

**A. 3 pi radians**