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What is the radian measure that corresponds to a [tex]90^\circ[/tex] angle?

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To convert an angle from degrees to radians, we use the conversion factor that π radians equal 180 degrees.

Here is the step-by-step process:

1. Know the conversion factor:
- 180 degrees = π radians

2. Set up the proportion to convert degrees to radians:
- θ degrees (π radians / 180 degrees)

3. Insert the given angle in degrees (90° in this case) into the formula:
- 90° (π radians / 180 degrees)

4. Perform the multiplication and division:
- Start by simplifying the fraction: 90/180 reduces to 1/2.
- So, we now have: 1/2 * π

5. Multiply the fraction by π:
- This results in π/2.

Therefore, the radian measure that corresponds to a 90° angle is π/2.

To provide a precise numerical value, π/2 approximately equals 1.5707963267948966.

So, the radian measure that corresponds to a 90° angle is approximately 1.5707963267948966 radians.
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