Golden angle
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In geometry, the golden angle is the angle created by dividing the circumference c of a circle into a section a and a smaller section b such that
- <math>c=a+b \,<math>
and
- <math>\frac{c}{a}=\frac{a}{b}<math>
and taking the angle of arc subtended by the length of circumference equal to b as the golden angle. There are φ2 golden angles in a circle, where φ is the golden number. Therefore a golden angle is <math> \frac {360^{\circ}}{\phi^2} \approx 137.51^{\circ}<math>. Since <math>\frac{1}{\phi^2} = 2-\phi<math>, this is also <math> {360^{\circ}}({2- \phi}) \approx 137.51^{\circ}<math>, or in radians <math> {2 \pi}({2- \phi}) \approx 2.4000 \mbox{ rad}<math>.