Van graden naar radialen

Hoofdmenu Eentje per keer  🖨

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

1. \(20 ^\circ 20'\)
2. \(8 ^\circ\)
3. \(29 ^\circ 30'\)
4. \(91 ^\circ\)
5. \(18 ^\circ 40'\)
6. \(15 ^\circ 30'\)
7. \(42 ^\circ\)
8. \(12 ^\circ 40'\)
9. \(30 ^\circ 20'\)
10. \(16 ^\circ 30'\)
11. \(138 ^\circ\)
12. \(13 ^\circ 40'\)

---

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

Verbetersleutel

1. \(20 ^\circ 20'= \left( 20 + \frac{1}{3} \right)^\circ= \frac{61}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{540} \text{rad}\)
2. \(8 ^\circ= 8^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{2 \pi}{45} \text{rad}\)
3. \(29 ^\circ 30'= \left( 29 + \frac{1}{2} \right)^\circ= \frac{59}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{59 \pi}{360} \text{rad}\)
4. \(91 ^\circ= 91^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{91 \pi}{180} \text{rad}\)
5. \(18 ^\circ 40'= \left( 18 + \frac{2}{3} \right)^\circ= \frac{56}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{14 \pi}{135} \text{rad}\)
6. \(15 ^\circ 30'= \left( 15 + \frac{1}{2} \right)^\circ= \frac{31}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{360} \text{rad}\)
7. \(42 ^\circ= 42^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{30} \text{rad}\)
8. \(12 ^\circ 40'= \left( 12 + \frac{2}{3} \right)^\circ= \frac{38}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{19 \pi}{270} \text{rad}\)
9. \(30 ^\circ 20'= \left( 30 + \frac{1}{3} \right)^\circ= \frac{91}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{91 \pi}{540} \text{rad}\)
10. \(16 ^\circ 30'= \left( 16 + \frac{1}{2} \right)^\circ= \frac{33}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{120} \text{rad}\)
11. \(138 ^\circ= 138^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{23 \pi}{30} \text{rad}\)
12. \(13 ^\circ 40'= \left( 13 + \frac{2}{3} \right)^\circ= \frac{41}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{41 \pi}{540} \text{rad}\)