Question

question 19
1 pts
express 5.62 radians as degrees rounded to 2 decimal places.
300.00 degrees
322.00 degrees
321.00 degrees
320.00 degrees

Explanation:

Step1: Use the conversion formula

We know that to convert radians to degrees, we use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).
Given radians \(r = 5.62\), then degrees \(d=5.62\times\frac{180^{\circ}}{\pi}\).

Step2: Calculate the value

Since \(\pi\approx3.14159\), we have \(d = 5.62\times\frac{180}{3.14159}\).
First, calculate \(5.62\times180 = 1011.6\).
Then, \(d=\frac{1011.6}{3.14159}\approx322.00\) (rounded to 2 decimal places).

Answer:

322.00 degrees