Question

1. convert 153° into radians to the nearest two decimal places. (2 points)

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 degree value

We have \( 153^\circ \), so substitute into the formula: \( 153 \times \frac{\pi}{180} \)

Step3: Calculate the value

First, simplify \( \frac{153}{180}=\frac{17}{20} = 0.85 \). Then multiply by \( \pi \): \( 0.85\times\pi\approx0.85\times3.14159265\approx2.67 \)

Answer:

\( 2.67 \) (rounded to two decimal places)