90° is equal to [tex]\frac{\pi}{2}[/tex] or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form [tex]\frac{\pi}{x}[/tex] radians.
To convert degrees to radians, we multiply the degree measure by [tex]\frac{\pi}{180}[/tex].
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)([tex]\frac{\pi}{180}[/tex]).
Step 2:
To convert 90°,
[tex]90 (\frac{\pi}{180} ) = \frac{\pi}{2}.[/tex]
[tex]0.5 \pi = 1.5707[/tex] radians.
So 90° is equal to [tex]\frac{\pi}{2}[/tex] or 1.5707 radians.
