What is the angle conversion from degrees to radians for a 90° angle?

What is the angle conversion from degrees to radians for a 90° angle?

• A. π/4 radians
• B. π/2 radians
• C. π/3 radians
• D. π radians

Answer: (B)

To convert degrees to radians, you use the conversion factor \( \frac{\pi \text{ radians}}{180 \text{ degrees}} \). For a 90° angle, you apply the conversion as follows: \[ 90° \times \frac{\pi \text{ radians}}{180°} \] When you perform this calculation, it simplifies to: \[ 90° \times \frac{\pi}{180} = \frac{90\pi}{180} = \frac{\pi}{2} \] Thus, a 90° angle is correctly converted to \( \frac{\pi}{2} \) radians. This is a fundamental concept in trigonometry and is essential for anyone working with angles in the context of HVAC systems, where the correct understanding of angles can impact system design and installation.

To convert degrees to radians, you use the conversion factor ( \frac{\pi \text{ radians}}{180 \text{ degrees}} ). For a 90° angle, you apply the conversion as follows:

[

90° \times \frac{\pi \text{ radians}}{180°}

]

When you perform this calculation, it simplifies to:

[

90° \times \frac{\pi}{180} = \frac{90\pi}{180} = \frac{\pi}{2}

]

Thus, a 90° angle is correctly converted to ( \frac{\pi}{2} ) radians. This is a fundamental concept in trigonometry and is essential for anyone working with angles in the context of HVAC systems, where the correct understanding of angles can impact system design and installation.