matlemelin matlemelin
  • 25-07-2019
  • Mathematics
contestada

An angle measures 3pi/4 radians.
What is this angle's measure, in degrees?

Respuesta :

jimrgrant1 jimrgrant1
  • 25-07-2019

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × [tex]\frac{180}{\pi }[/tex], so

degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex]

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

Answer Link
wolf1728
wolf1728 wolf1728
  • 25-07-2019

Answer:

1 radian = 180 / PI degrees

3 PI / 4 radians * 180 / PI the "PI's" cancel and we get

3 / 4 * 180 = 135 degrees

Step-by-step explanation:

Answer Link

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