Question
Convert \( 90^{\circ} \) to radians without a calculator.
Ask by Gray Henry. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 90^\circ \) is equal to \( \frac{\pi}{2} \) radians.
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Bonus Knowledge
To convert \( 90^{\circ} \) to radians, you can use the conversion factor that \( \pi \) radians is equivalent to \( 180^{\circ} \). Since \( 90^{\circ} \) is half of \( 180^{\circ} \), you can set up the conversion as follows: \[ 90^{\circ} \times \frac{\pi \text{ radians}}{180^{\circ}} = \frac{90\pi}{180} = \frac{\pi}{2} \text{ radians} \] So, \( 90^{\circ} \) is equal to \( \frac{\pi}{2} \) radians.
