Type your answer Convert \( \pi \) radians into degrees. \( \square \)
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To convert \( \pi \) radians into degrees, you can use the conversion factor that \( 180^\circ \) is equivalent to \( \pi \) radians. So, you multiply by \( \frac{180^\circ}{\pi} \): \[ \pi \, \text{radians} \times \frac{180^\circ}{\pi} = 180^\circ. \] Thus, \( \pi \) radians is equal to \( 180^\circ \) in degrees! Did you know that the concept of radians was first introduced by the ancient Greeks? They used this approach to calculate arcs and circles, laying the groundwork for modern trigonometry. It’s fascinating how math has evolved over centuries while still using these principles today. When converting angles, a common mistake is to forget to include the conversion factor. Always remember the relationship between radians and degrees, and double-check your calculations! A simple misstep can turn that \( 90^\circ \) into a suspicious \( 90\pi \) degrees!