which expression converts 8 radians to degrees?\n8·π\n8·\\frac{π}{180°}\n8·180°\n8·\\frac{180°}{π}
which expression converts 8 radians to degrees?\n8·π\n8·\\frac{π}{180°}\n8·180°\n8·\\frac{180°}{π}
Answer
Explanation:
Step1: Recall conversion formula
The formula to convert radians to degrees is $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the measure in degrees and $R$ is the measure in radians.
Step2: Substitute given value
Given $R = 8$ radians. Substituting into the formula, we get the expression for converting 8 radians to degrees as $8\times\frac{180^{\circ}}{\pi}$.
Answer:
$8\times\frac{180^{\circ}}{\pi}$ (corresponding to the last option in the multiple - choice list)