Question

convert the angle 90° to radians. give the exact value and use pi for π.

Explanation:

Step1: Use conversion formula

We know that to convert degrees to radians, we use the formula \( \text{Radians}=\frac{\pi}{180}\times\text{Degrees}\).

Step2: Substitute the value

Substitute \( \text{Degrees} = 90^{\circ}\) into the formula. So, \( \text{Radians}=\frac{\pi}{180}\times90\).

Step3: Simplify the expression

\(\frac{\pi}{180}\times90=\frac{\pi}{2}\)

Answer:

\(\frac{\pi}{2}\)