Question

question convert the angle 5.5 radians to degrees, rounding to the nearest 10th. answer attempt 1 out of 2

Explanation:

Step1: Use the conversion formula

The formula to convert radians to degrees is \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\). Given the radian measure \(r = 5.5\).

Step2: Substitute and calculate

Substitute \(r = 5.5\) into the formula: \(D=5.5\times\frac{180^{\circ}}{\pi}\). Since \(\pi\approx3.14159\), then \(D = 5.5\times\frac{180}{3.14159}\).
First, calculate \(5.5\times180 = 990\). Then \(D=\frac{990}{3.14159}\approx315.1\) (rounded to the nearest tenth).

Answer:

\(315.1^{\circ}\)