Convert Start Fraction 7 pi over 9 End Fraction radians into degrees.

Question

(1 point)
Responses

140°
140°

150°
150°

155°
155°

230°
230°

Answer 1

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

For \( \frac{7\pi}{9} \) radians, the calculation is as follows:

\[ \frac{7\pi}{9} \times \frac{180^\circ}{\pi} \]

The \( \pi \) in the numerator and denominator will cancel out:

\[ = \frac{7 \times 180^\circ}{9} \]

Now perform the multiplication:

\[ = \frac{1260^\circ}{9} \]

Now, divide:

\[ = 140^\circ \]

So, \( \frac{7\pi}{9} \) radians is equal to \( 140^\circ \).

The correct response is:

140°