Van graden naar radialen

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

1. \(21 ^\circ 20'\)
2. \(21 ^\circ 30'\)
3. \(9 ^\circ 30'\)
4. \(14 ^\circ 30'\)
5. \(17 ^\circ 40'\)
6. \(92 ^\circ\)
7. \(58 ^\circ\)
8. \(1 ^\circ 40'\)
9. \(19 ^\circ 30'\)
10. \(4 ^\circ 30'\)
11. \(119 ^\circ\)
12. \(38 ^\circ\)

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

Verbetersleutel

1. \(21 ^\circ 20'= \left( 21 + \frac{1}{3} \right)^\circ= \frac{64}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{16 \pi}{135} \text{rad}\)
2. \(21 ^\circ 30'= \left( 21 + \frac{1}{2} \right)^\circ= \frac{43}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{43 \pi}{360} \text{rad}\)
3. \(9 ^\circ 30'= \left( 9 + \frac{1}{2} \right)^\circ= \frac{19}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{360} \text{rad}\)
4. \(14 ^\circ 30'= \left( 14 + \frac{1}{2} \right)^\circ= \frac{29}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{29 \pi}{360} \text{rad}\)
5. \(17 ^\circ 40'= \left( 17 + \frac{2}{3} \right)^\circ= \frac{53}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{53 \pi}{540} \text{rad}\)
6. \(92 ^\circ= 92^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{23 \pi}{45} \text{rad}\)
7. \(58 ^\circ= 58^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{29 \pi}{90} \text{rad}\)
8. \(1 ^\circ 40'= \left( 1 + \frac{2}{3} \right)^\circ= \frac{5}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{108} \text{rad}\)
9. \(19 ^\circ 30'= \left( 19 + \frac{1}{2} \right)^\circ= \frac{39}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{120} \text{rad}\)
10. \(4 ^\circ 30'= \left( 4 + \frac{1}{2} \right)^\circ= \frac{9}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{40} \text{rad}\)
11. \(119 ^\circ= 119^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{119 \pi}{180} \text{rad}\)
12. \(38 ^\circ= 38^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{90} \text{rad}\)