Question

90 in terms of pi please help

Answer 1

90 in terms of pi is
`(\pi)/(2)` .

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:

⇒
`(90)(\pi )/(180)`

⇒
`(90 )/(180)(\pi)`

⇒
`(1 )/(2)(\pi)`

⇒
`(\pi)/(2)`

Therefore, 90 in terms of pi is
`(\pi)/(2)` .