Convert the given angle measure from radians to degrees. Round to three decimal places. $\frac { 3 \pi } { 7 }$
A) 0.023°
B) 77.143°
C) 154.286°
D) 38.571°
E) 420.000°

Question

Quizplus · Accepted Answer

To convert from radians to degrees, we use the conversion factor:

$1	ext{ radian } = \frac{180^\circ}{\pi}\approx 57.296^\circ$

So, we have:

$\frac{3\pi}{7}\cdot \frac{180^\circ}{\pi} \approx 77.143^\circ$

Rounding to three decimal places, we get $77.143^\circ$. Therefore, the answer is (B).

Convert the Given Angle Measure from Radians to Degrees 3π7\frac { 3 \pi } { 7 }73π​

Convert the Given Angle Measure from Radians to Degrees $\frac { 3 \pi } { 7 }$