Question

1 numeric 1 point
please convert \\(\frac{2\pi}{5}\\) radians into degrees. round to two places after the decimal point.
answer

2 numeric 1 point
please convert \\(\frac{3\pi}{4}\\) radians into degrees. round to two places after the decimal point.
answer

Explanation:

Sub - Question 1

Step 1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.
For the radian measure $\frac{2\pi}{5}$, we substitute it into the formula: Degree = $\frac{2\pi}{5}\times\frac{180^{\circ}}{\pi}$

Step 2: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. So we have $\frac{2\times180^{\circ}}{5}=\frac{360^{\circ}}{5} = 72.00^{\circ}$ (since $360\div5 = 72$)

Step 1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degree measure = Radian measure $\times\frac{180^{\circ}}{\pi}$.
For the radian measure $\frac{3\pi}{4}$, we substitute it into the formula: Degree = $\frac{3\pi}{4}\times\frac{180^{\circ}}{\pi}$

Step 2: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. So we have $\frac{3\times180^{\circ}}{4}=\frac{540^{\circ}}{4}=135.00^{\circ}$ (since $540\div4 = 135$)

Answer:

$72.00$

Sub - Question 2