Question

How do you convert $90$ degrees to radians?

Answer 1

Convert $90$ degrees to radians.

As we know that, the conversion of degrees to radians is a type of conversion used in geometry to change the unit of measurement for angles.

The degree is represented by the symbol $\left(°\right)$, In radians, $1$complete counterclockwise revolution is $2\pi$ and in degrees, $1$ complete counterclockwise revolution is $360°$.

The formula for conversion of degree to radian is,

$\mathrm{Radians}=\mathrm{Degress}\times \frac{\mathrm{\pi }}{180}$

One radian is the angle generated at the center of a circle by an arc whose length equals the circle's radius $r$.

We have to multiply the given value by $\frac{\mathrm{\pi }}{180\mathrm{°}}$.

$\Rightarrow$ $90°=90\times \frac{\mathrm{\pi }}{180°}radians$

$\Rightarrow$ $90°=90\times \frac{\mathrm{\pi }}{90\times 2}radians$

$\Rightarrow$ $90°=\frac{\mathrm{\pi }}{2}radians$

Hence, the value of $90°$ in radians is $\frac{\mathrm{\pi }}{2}$.