Question

question
convert the angle \frac{23\pi}{12} radians to degrees.
answer attempt 1 out of 5

Explanation:

Step1: Use the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
For the angle \(\frac{23\pi}{12}\) radians, substitute into the formula: \(\frac{23\pi}{12}\times\frac{180^{\circ}}{\pi}\).

Step2: Simplify the expression

The \(\pi\) terms cancel out. Then calculate \(\frac{23\times180}{12}\).
First, \(180\div12 = 15\).
Then, \(23\times15=345\).

Answer:

345