Conquer the Mathematics ACT Aspire Test 2025 – Unleash Your Inner Math Genius!

Question: 1 / 400

Convert 45 degrees to radians.

45 degrees = π/2 radians

45 degrees = π/4 radians

To convert degrees to radians, you can use the conversion factor that π radians is equivalent to 180 degrees. This means that to convert from degrees to radians, you can multiply the degree measure by π/180.

For 45 degrees, you would set it up as follows:

\[

45 \times \frac{\pi}{180}

\]

When you simplify this expression:

1. First, divide 45 by 180, which simplifies to 1/4.

2. Then, multiply by π:

\[

\frac{1}{4} \times \pi = \frac{\pi}{4}

\]

Therefore, 45 degrees is equal to π/4 radians, confirming that this is the accurate conversion. This precise understanding is crucial because knowing the relationship between degrees and radians is fundamental in trigonometry and many areas of mathematics.

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45 degrees = π/6 radians

45 degrees = 2π radians

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