Van graden naar radialen

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

1. \(141 ^\circ\)
2. \(12 ^\circ 20'\)
3. \(9 ^\circ 40'\)
4. \(3 ^\circ 20'\)
5. \(91 ^\circ\)
6. \(49 ^\circ\)
7. \(8 ^\circ 40'\)
8. \(23 ^\circ 20'\)
9. \(26 ^\circ 30'\)
10. \(28 ^\circ 20'\)
11. \(7 ^\circ 40'\)
12. \(10 ^\circ 30'\)

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

Verbetersleutel

1. \(141 ^\circ= 141^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{47 \pi}{60} \text{rad}\)
2. \(12 ^\circ 20'= \left( 12 + \frac{1}{3} \right)^\circ= \frac{37}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{37 \pi}{540} \text{rad}\)
3. \(9 ^\circ 40'= \left( 9 + \frac{2}{3} \right)^\circ= \frac{29}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{29 \pi}{540} \text{rad}\)
4. \(3 ^\circ 20'= \left( 3 + \frac{1}{3} \right)^\circ= \frac{10}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{54} \text{rad}\)
5. \(91 ^\circ= 91^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{91 \pi}{180} \text{rad}\)
6. \(49 ^\circ= 49^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{49 \pi}{180} \text{rad}\)
7. \(8 ^\circ 40'= \left( 8 + \frac{2}{3} \right)^\circ= \frac{26}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{13 \pi}{270} \text{rad}\)
8. \(23 ^\circ 20'= \left( 23 + \frac{1}{3} \right)^\circ= \frac{70}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{54} \text{rad}\)
9. \(26 ^\circ 30'= \left( 26 + \frac{1}{2} \right)^\circ= \frac{53}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{53 \pi}{360} \text{rad}\)
10. \(28 ^\circ 20'= \left( 28 + \frac{1}{3} \right)^\circ= \frac{85}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{108} \text{rad}\)
11. \(7 ^\circ 40'= \left( 7 + \frac{2}{3} \right)^\circ= \frac{23}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{23 \pi}{540} \text{rad}\)
12. \(10 ^\circ 30'= \left( 10 + \frac{1}{2} \right)^\circ= \frac{21}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{120} \text{rad}\)