Question

converting radians to degrees
score: 2.75/5 penalty: 0.25 off
question
convert the angle \\(\frac{7\pi}{12}\\) radians to degrees.
answer attempt 1 out of 2
\\(\square^{\circ}\\) submit answer

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, multiply by $\frac{180^\circ}{\pi}$.

Step2: Substitute the value

$$\frac{7\pi}{12} \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

The $\pi$ cancels out: $\frac{7 \times 180^\circ}{12} = 7 \times 15^\circ = 105^\circ$

Answer:

105