## What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree. – 13° 45° 229°

Question

What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

13°
45°
229°
720°

in progress 0
2 weeks 2021-09-10T09:59:02+00:00 2 Answers 0

## Answers ( )

Step-by-step explanation:

Hi, to answer this question we have to multiply the radians by 180/π.

Since we have 4 radians, the expression is:

4 x (180/π) = 229.18 degrees

Rounding to the nearest degree:

229 degrees (because the first number after the point is less than 5 )

Feel free to ask for more if needed or if you did not understand something.

2. Question:

A. 13°

B. 45°

C. 229°

D. 720°

The correct option is;

C. 229°

Step-by-step explanation:

Here we have

360° = 2·π radians which is the angle at the center of a circle, where the circumference of the circle is 2·π·r and r = 1

Therefore;

1 radian = 360°/(2·π)

Hence, 4 radian = 4 × 360°/(2·π) = 720/π = 229.183°

Therefore, the value of 4 radians converted to degrees is 229° after the exact figure is rounded to the nearest whole number.