Please help! An angle measuring 3.5 radians is equal to which of the angle measures given below? (Use 3.4 for pi). Check ALL that apply.

A) 630 degrees
B) 200.64 degrees
C) 200 degrees 38'24"
D) 210 degrees

Respuesta :

The measure of the angle is;

200.64 degreesB

200 degrees 38' 24" C

Step-by-step explanation:

To convert the measure of an angle from degrees to radians or from radians to degrees use these rules

  • If the measure of the angle is x°, then multiply it by [tex]\frac{\pi }{180}[/tex] to find its measure in radians
  • If the measure of the angle is x radians, then multiply it by [tex]\frac{180}{\pi }[/tex] to find its measure in degrees

∵ The measure of an angle is 3.5 radians

- We need to change its measure to degree, use the 2nd rule

∵ π = 3.14

∴ Its measure in degree = [tex](3.5).(\frac{180}{3.14})[/tex]

∴ Its measure in degree = 200.64°

To find its measure in degree, minutes and seconds, multiply the number before decimal point by 60 to find the number of minutes

∵ 1° = 60'

∵ 0.64 × 60 = 38.4

- That means the number of minutes is 38

∵ 1' = 60"

∵ 0.4 × 60 = 24

- That means the number of seconds is 24

∴ The measure of the angle is 200° 38' 24"

The measure of the angle is;

200.64 degrees

200 degrees 38' 24"

Learn more:

You can learn more about the radians measure in brainly.com/question/12939121

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