Question

convert the following angle in radians to degrees. 2.55 2.55 radians ≈ ° (type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

We know that to convert radians to degrees, we use the formula $D = R\times\frac{180^{\circ}}{\pi}$, where $D$ is the angle in degrees and $R$ is the angle in radians.

Step2: Substitute the value

Substitute $R = 2.55$ into the formula: $D=2.55\times\frac{180^{\circ}}{\pi}$.

Step3: Calculate the result

$D=\frac{2.55\times180}{\pi}=\frac{459}{\pi}\approx146.10^{\circ}$ (rounded to two - decimal places).

Answer:

$146.10$