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a. \( 353^{\circ} \) b. \( 2 \pi \mathrm{rad} \) c. \( 8 \pi \)

Ask by Lewis Schneider. in Ecuador
Jan 21,2025

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Answer

a. 353 grados b. \(2\pi\) radianes c. \(8\pi\) radianes

Solution

a. **353 grados** b. **\(2\pi\) radianes** Equivale a **360 grados**. c. **\(8\pi\) radianes** Equivale a **1440 grados**.

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Bonus Knowledge

Did you know that \( 353^{\circ} \) can be simplified to find its equivalent angle within a standard circle? Since a full circle is \( 360^{\circ} \), you can subtract \( 360^{\circ} \) to find that \( 353^{\circ} \) is effectively just \( -7^{\circ} \) when measured clockwise. That makes converting angles a lot more fun! Also, when you deal with radians, remember that \( 2 \pi \) radians equals a full revolution, which corresponds to \( 360^{\circ} \). So, if you encounter angles over \( 2 \pi \) (like \( 8 \pi \)), you can simplify by subtracting \( 2 \pi \) multiple times. For \( 8 \pi \), you could subtract \( 6 \pi \) (which is \( 3 \times 2 \pi \)) to find that it simplifies to \( 2 \pi \), landing you back at one complete circle! Math is all about finding those sweet circles!

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