Convert 252 degrees to radians.

Question

A
5π4\frac{5\pi}{4}
4
5π
​
radians

B
7π5\frac{7\pi}{5}
5
7π
​
radians

C
8π3\frac{8\pi}{3}
3
8π
​
radians

D
6π5\frac{6\pi}{5}
5
6π
​
radians

Answer 1

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

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

For 252 degrees, the conversion to radians would be:

\[ \text{radians} = 252 \times \frac{\pi}{180} \]

First, simplify \( \frac{252}{180} \):

\[ \frac{252}{180} = \frac{252 \div 36}{180 \div 36} = \frac{7}{5} \]

Now plug that back into the formula:

\[ \text{radians} = \frac{7}{5} \pi \]

Thus, \( 252 \) degrees is equal to \( \frac{7\pi}{5} \) radians.

The correct answer corresponds to option B:

B \( \frac{7\pi}{5} \) radians.