Write the measure in degrees. $$ \frac{7 \pi}{4} $$ $$ [?]^{\circ} $$

Question

UpStudy AI · Accepted Answer

To convert the angle from radians to degrees, we can use the conversion factor $$ \frac{180^\circ}{\pi} $$.

Starting with the angle $$ \frac{7\pi}{4} $$:

$$
\frac{7\pi}{4} \times \frac{180^\circ}{\pi}
$$

The $$ \pi $$ in the numerator and denominator cancels out:

$$
= \frac{7 \times 180^\circ}{4}
$$

Now, calculate $$ \frac{7 \times 180}{4} $$:

$$
= \frac{1260}{4} = 315^\circ
$$

Thus, the measure in degrees is

$$
\boxed{315^\circ}
$$
The measure in degrees is 315°.

Write the measure in degrees.