which expression converts $\frac{pi}{4}$ radians to degrees?\n$\frac{pi}{4}cdot180^{circ}$\n$\frac{pi}{4}cdot…

which expression converts $\frac{pi}{4}$ radians to degrees?\n$\frac{pi}{4}cdot180^{circ}$\n$\frac{pi}{4}cdot\frac{180^{circ}}{pi}$\n$\frac{pi}{4}cdot\frac{pi}{180^{circ}}$\n$\frac{pi}{4}cdotpi$

which expression converts $\frac{pi}{4}$ radians to degrees?\n$\frac{pi}{4}cdot180^{circ}$\n$\frac{pi}{4}cdot\frac{180^{circ}}{pi}$\n$\frac{pi}{4}cdot\frac{pi}{180^{circ}}$\n$\frac{pi}{4}cdotpi$

Answer

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, we use the formula: Degrees = Radians $\times\frac{180^{\circ}}{\pi}$.

Step2: Substitute given value

Given $\frac{\pi}{4}$ radians. Substituting into the formula, we get $\frac{\pi}{4}\times\frac{180^{\circ}}{\pi}$.

Answer:

$\frac{\pi}{4}\cdot\frac{180^{\circ}}{\pi}$