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

(1 point)
Responses

140°
140°

150°
150°

155°
155°

230°

1 answer

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

Given \( \frac{7\pi}{9} \) radians, you can convert it to degrees as follows:

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

The \(\pi\) cancels out:

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

Calculating the multiplication first:

\[ 7 \times 180 = 1260 \]

Now divide by 9:

\[ \frac{1260}{9} = 140^\circ \]

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

The answer is 140°.