Convert the following angles from degrees to radians and gradians: 22.5 degrees and 330 degrees.

May 22, 2026Mathematics

ScanSolve AI Answer

May 22, 2026

Answer

\frac{225}{9} = 25 \text{ grades}$$

تمام، لنكمل باقي الحسابات بنفس التنسيق.

"°5: $22.5^\circ$ "

الإزديان: $22.5^\circ \times \frac{\pi}{180} = \frac{22.5\pi}{180} = \frac{45\pi}{360} = \frac{\pi}{8} \text{ rad}$
الغراد: $22.5^\circ \times \frac{10 درجة}{9^\circ} = \frac{225}{9} = 25 \text{ grades}$

"°6: $330^\circ$ "

الإزديان: $330^\circ \times \frac{\pi}{180} = \frac{330\pi}{180} = \frac{11\pi}{6} \text{ rad}$
الغراد: $330^\circ \times \frac{10 درجة}{9^\circ} = \frac{3300}{9} = \frac{1100}{3} \text{ grades}$

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Asked on May 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 22, 2026

تمام، لنكمل باقي الحسابات بنفس التنسيق. "°5: 22.5^" الإزديان: 22.5^ × ()/(180) = (22.5)/(180) = (45)/(360) = ()/(8) rad الغراد: 22.5^ × 10 درجة9^ = (225)/(9) = 25 grades "°6: 330^" الإزديان: 330^ × ()/(180) = (330)/(180) = (11)/(6) rad الغراد: 330^ × 10 درجة9^ = (3300)/(9) = (1100)/(3) grades 3 done, 2 left today. You're making progress.