Question

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

4 numeric 1 point
please convert \\(-\frac{\pi}{9}\\) radians into degrees. round to two places after the decimal point.
answer

Explanation:

Question 3

Step1: Recall the conversion formula

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

Step2: Substitute the given radians value

We are given \( \frac{\pi}{4} \) radians. Substituting into the formula:
\( \text{Degrees} = \frac{\pi}{4} \times \frac{180^\circ}{\pi} \)
The \( \pi \) terms cancel out:
\( \text{Degrees} = \frac{180^\circ}{4} = 45.00^\circ \) (rounded to two decimal places)

Step1: Recall the conversion formula

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

Step2: Substitute the given radians value

We are given \( -\frac{\pi}{9} \) radians. Substituting into the formula:
\( \text{Degrees} = -\frac{\pi}{9} \times \frac{180^\circ}{\pi} \)
The \( \pi \) terms cancel out:
\( \text{Degrees} = -\frac{180^\circ}{9} = -20.00^\circ \) (rounded to two decimal places)

Answer:

\( 45.00 \)

Question 4