Van graden naar radialen

Hoofdmenu Eentje per keer  🖨

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

1. \(175 ^\circ\)
2. \(1 ^\circ 30'\)
3. \(22 ^\circ 40'\)
4. \(10 ^\circ 20'\)
5. \(10 ^\circ 30'\)
6. \(101 ^\circ\)
7. \(47 ^\circ\)
8. \(122 ^\circ\)
9. \(18 ^\circ 20'\)
10. \(12 ^\circ 20'\)
11. \(179 ^\circ\)
12. \(19 ^\circ 40'\)

---

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

Verbetersleutel

1. \(175 ^\circ= 175^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{35 \pi}{36} \text{rad}\)
2. \(1 ^\circ 30'= \left( 1 + \frac{1}{2} \right)^\circ= \frac{3}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{ \pi }{120} \text{rad}\)
3. \(22 ^\circ 40'= \left( 22 + \frac{2}{3} \right)^\circ= \frac{68}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{17 \pi}{135} \text{rad}\)
4. \(10 ^\circ 20'= \left( 10 + \frac{1}{3} \right)^\circ= \frac{31}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{31 \pi}{540} \text{rad}\)
5. \(10 ^\circ 30'= \left( 10 + \frac{1}{2} \right)^\circ= \frac{21}2^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{7 \pi}{120} \text{rad}\)
6. \(101 ^\circ= 101^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{101 \pi}{180} \text{rad}\)
7. \(47 ^\circ= 47^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{47 \pi}{180} \text{rad}\)
8. \(122 ^\circ= 122^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{61 \pi}{90} \text{rad}\)
9. \(18 ^\circ 20'= \left( 18 + \frac{1}{3} \right)^\circ= \frac{55}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{11 \pi}{108} \text{rad}\)
10. \(12 ^\circ 20'= \left( 12 + \frac{1}{3} \right)^\circ= \frac{37}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{37 \pi}{540} \text{rad}\)
11. \(179 ^\circ= 179^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{179 \pi}{180} \text{rad}\)
12. \(19 ^\circ 40'= \left( 19 + \frac{2}{3} \right)^\circ= \frac{59}3^\circ.\frac{\pi \text{ rad}}{180 ^\circ}= \frac{59 \pi}{540} \text{rad}\)