Respuesta :

90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

Step-by-step explanation:

We know that ,

  • Degrees are a unit of angle measure. A full circle is divided into 360 degrees. For example, a right angle is 90 degrees. A degree has the symbol ° and so ninety degrees would written 90°. Another unit of angle measure is the radian.
  • The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.

We have to convert 90 in terms of pi i.e. degree to radians:

⇒ [tex](90)\frac{\pi }{180}[/tex]

⇒ [tex]\frac{90 }{180}(\pi)[/tex]

⇒ [tex]\frac{1 }{2}(\pi)[/tex]

⇒ [tex]\frac{\pi}{2}[/tex]

Therefore, 90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

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