Question

1. convert 3.75 radians into degrees to the nearest two decimal places. (2 points)

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given value

We are given \( 3.75 \) radians. Substitute this into the formula: \( \text{Degrees} = 3.75 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( \frac{180}{\pi} \approx 57.2958 \). Then multiply by \( 3.75 \): \( 3.75\times57.2958 \approx 214.85925 \)

Step4: Round to two decimal places

Rounding \( 214.85925 \) to two decimal places gives \( 214.86 \)

Answer:

\( 214.86^\circ \)