Question

convert the angle 4.5 radians to degrees, rounding to the nearest 10th.

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 \( 4.5 \) radians. Substitute into the formula: \( 4.5 \times \frac{180^\circ}{\pi} \)

Step3: Calculate the value

First, calculate \( 4.5\times180 = 810 \). Then divide by \( \pi \): \( \frac{810}{\pi}\approx\frac{810}{3.14159}\approx257.8 \) (rounded to the nearest tenth)

Answer:

\( 257.8^\circ \)