Question

convert the following angle in radians to degrees
2.86
2.86 radians ≈ □°
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall conversion formula

To convert radians to degrees, 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 given value

Substitute $R = 2.86$ into the formula: $D=2.86\times\frac{180^{\circ}}{\pi}$.

Step3: Calculate the result

$D = 2.86\times\frac{180}{\pi}\approx2.86\times\frac{180}{3.14159}\approx163.86^{\circ}$

Answer:

$163.86$