#### Understand the Problem

The question is asking to convert 90 degrees to its equivalent measure in radians. This involves using the conversion factor between degrees and radians, which is π radians equals 180 degrees.

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

The final answer is ( \frac{\pi}{2} )

#### Steps to Solve

1. Identify the conversion factor

To convert degrees to radians, use the conversion factor: $$\pi \text{ radians} = 180^{\circ}$$

1. Set up the conversion formula

We need to convert 90 degrees to radians using the formula: $$\text{radians} = \text{degrees} \times \left( \frac{\pi \text{ radians}}{180^{\circ}} \right)$$

1. Substitute the value

Substitute the value of 90 degrees into the formula: $$\text{radians} = 90^{\circ} \times \left( \frac{\pi \text{ radians}}{180^{\circ}} \right)$$

1. Simplify the expression

Simplify the fraction: $$90 \times \left( \frac{\pi}{180} \right) = \frac{90\pi}{180} = \frac{\pi}{2}$$

Therefore, 90 degrees is equivalent to ( \frac{\pi}{2} ) radians.

The final answer is ( \frac{\pi}{2} )