Question

convert the angle in degrees to radians. round to two decimal places.

• 156°
• 156° = radians (round to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

To convert degrees to radians, use the formula $\text{radians}=\text{degrees}\times\frac{\pi}{180}$.

Step2: Substitute the given degree value

Substitute - 156 for degrees in the formula: $-156\times\frac{\pi}{180}$.

Step3: Simplify the expression

$-156\times\frac{\pi}{180}=\frac{-156\pi}{180}=\frac{-13\pi}{15}$.

Step4: Calculate the decimal value

Using $\pi\approx3.14159$, we have $\frac{-13\times3.14159}{15}\approx - 2.72$.

Answer:

$-2.72$