what is $\frac{3pi}{4}$ radians converted to degrees? if necessary, round your answer to the nearest…

what is $\frac{3pi}{4}$ radians converted to degrees? if necessary, round your answer to the nearest degree.\n$45^{circ}$\n$135^{circ}$\n$240^{circ}$\n$540^{circ}$

what is $\frac{3pi}{4}$ radians converted to degrees? if necessary, round your answer to the nearest degree.\n$45^{circ}$\n$135^{circ}$\n$240^{circ}$\n$540^{circ}$

Answer

Explanation:

Step1: Recall conversion formula

Use the formula $1$ radian $=\frac{180^{\circ}}{\pi}$.

Step2: Convert $\frac{3\pi}{4}$ radians

Multiply $\frac{3\pi}{4}$ by $\frac{180^{\circ}}{\pi}$. So, $\frac{3\pi}{4}\times\frac{180^{\circ}}{\pi}=\frac{3\times180^{\circ}}{4}$.

Step3: Calculate the value

$\frac{3\times180}{4}=\frac{540}{4} = 135^{\circ}$.

Answer:

B. $135^{\circ}$