Respuesta :
The measure of the angle is;
200.64 degrees ⇒ B
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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