Question

how many radians is 90°? \\(\frac{\pi}{4}\\) radians \\(\frac{\pi}{3}\\) radians \\(\frac{\pi}{6}\\) radians \\(\frac{\pi}{2}\\) radians

Explanation:

Step1: Recall degree-radian conversion

We know that $180^\circ = \pi$ radians.

Step2: Solve for 1 degree

Divide both sides by 180: $1^\circ = \frac{\pi}{180}$ radians.

Step3: Calculate 90 degrees in radians

Multiply 90 by the conversion factor: $90^\circ = 90 \times \frac{\pi}{180}$ radians
Simplify the expression: $90 \times \frac{\pi}{180} = \frac{\pi}{2}$ radians.

Answer:

$\frac{\pi}{2}$ radians