Question

Question
Convert 215° to radians.
(1 point)
Responses

Start Fraction 36 pi over 43 End Fraction
Image with alt text: Start Fraction 36 pi over 43 End Fraction

Start Fraction 43 pi over 36 End Fraction
Image with alt text: Start Fraction 43 pi over 36 End Fraction

Start Fraction 43 pi over 72 End Fraction
Image with alt text: Start Fraction 43 pi over 72 End Fraction

Start Fraction pi over 215 End Fraction

Answer 1

To convert degrees to radians, you can use the conversion factor \(\frac{\pi}{180}\) radians per degree.

To convert \(215^\circ\) to radians:

\[
215^\circ \times \frac{\pi \text{ radians}}{180^\circ} = \frac{215\pi}{180}
\]

Next, simplify the fraction:

\[
\frac{215\pi}{180} = \frac{43\pi}{36}
\]

So, \(215^\circ\) in radians is \(\frac{43\pi}{36}\).

The correct response is:

**Start Fraction 43 pi over 36 End Fraction**