Question

numeric 1 point please convert 189° into radians. round to two places after the decimal point. answer

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given value

Substitute \( 189^\circ \) into the formula: \( \text{radians} = 189 \times \frac{\pi}{180} \)

Step3: Calculate the value

First, simplify \( \frac{189}{180} = \frac{21}{20} = 1.05 \). Then multiply by \( \pi \): \( 1.05 \times \pi \approx 1.05 \times 3.14159 \approx 3.30 \) (rounded to two decimal places)

Answer:

3.30