Van graden naar radialen

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Geef een exacte uitkomst (laat π staan). Zonder ZRM!

1. \(23 ^\circ 40'\)
2. \(122 ^\circ\)
3. \(24 ^\circ 40'\)
4. \(1 ^\circ 20'\)
5. \(30 ^\circ 30'\)
6. \(16 ^\circ 20'\)
7. \(21 ^\circ 40'\)
8. \(19 ^\circ 40'\)
9. \(169 ^\circ\)
10. \(91 ^\circ\)
11. \(70 ^\circ\)
12. \(159 ^\circ\)

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Geef een exacte uitkomst (laat π staan). Zonder ZRM!

Verbetersleutel

1. \(23 ^\circ 40'= \left( 23 + \frac{2}{3} \right)^\circ= \frac{71}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{71 \pi}{540} \text{rad}\)
2. \(122 ^\circ= 122^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{90} \text{rad}\)
3. \(24 ^\circ 40'= \left( 24 + \frac{2}{3} \right)^\circ= \frac{74}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{37 \pi}{270} \text{rad}\)
4. \(1 ^\circ 20'= \left( 1 + \frac{1}{3} \right)^\circ= \frac{4}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{135} \text{rad}\)
5. \(30 ^\circ 30'= \left( 30 + \frac{1}{2} \right)^\circ= \frac{61}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{360} \text{rad}\)
6. \(16 ^\circ 20'= \left( 16 + \frac{1}{3} \right)^\circ= \frac{49}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{49 \pi}{540} \text{rad}\)
7. \(21 ^\circ 40'= \left( 21 + \frac{2}{3} \right)^\circ= \frac{65}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{108} \text{rad}\)
8. \(19 ^\circ 40'= \left( 19 + \frac{2}{3} \right)^\circ= \frac{59}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{59 \pi}{540} \text{rad}\)
9. \(169 ^\circ= 169^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{169 \pi}{180} \text{rad}\)
10. \(91 ^\circ= 91^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{91 \pi}{180} \text{rad}\)
11. \(70 ^\circ= 70^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{18} \text{rad}\)
12. \(159 ^\circ= 159^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{53 \pi}{60} \text{rad}\)