Van graden naar radialen

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

1. \(10 ^\circ 20'\)
2. \(5 ^\circ 40'\)
3. \(6 ^\circ\)
4. \(12 ^\circ 20'\)
5. \(11 ^\circ\)
6. \(98 ^\circ\)
7. \(1 ^\circ 20'\)
8. \(17 ^\circ 30'\)
9. \(22 ^\circ 20'\)
10. \(19 ^\circ\)
11. \(13 ^\circ 30'\)
12. \(19 ^\circ 30'\)

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

Verbetersleutel

1. \(10 ^\circ 20'= \left( 10 + \frac{1}{3} \right)^\circ= \frac{31}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{540} \text{rad}\)
2. \(5 ^\circ 40'= \left( 5 + \frac{2}{3} \right)^\circ= \frac{17}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{540} \text{rad}\)
3. \(6 ^\circ= 6^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{30} \text{rad}\)
4. \(12 ^\circ 20'= \left( 12 + \frac{1}{3} \right)^\circ= \frac{37}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{37 \pi}{540} \text{rad}\)
5. \(11 ^\circ= 11^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{180} \text{rad}\)
6. \(98 ^\circ= 98^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{49 \pi}{90} \text{rad}\)
7. \(1 ^\circ 20'= \left( 1 + \frac{1}{3} \right)^\circ= \frac{4}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{135} \text{rad}\)
8. \(17 ^\circ 30'= \left( 17 + \frac{1}{2} \right)^\circ= \frac{35}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{72} \text{rad}\)
9. \(22 ^\circ 20'= \left( 22 + \frac{1}{3} \right)^\circ= \frac{67}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{67 \pi}{540} \text{rad}\)
10. \(19 ^\circ= 19^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{180} \text{rad}\)
11. \(13 ^\circ 30'= \left( 13 + \frac{1}{2} \right)^\circ= \frac{27}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{3 \pi}{40} \text{rad}\)
12. \(19 ^\circ 30'= \left( 19 + \frac{1}{2} \right)^\circ= \frac{39}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{120} \text{rad}\)