Question

Which ratio is known as golden ratio​

Answer 1

Answer:

Step-by-step explanation:

1.618:1

The Golden Ratio is most commonly represented as the Golden Rectangle, a rectangle with side-length ratio of 1.618:1. Golden Rectangles also have the property that if you cut off a square, you'll be left with another Golden Rectangle.

We saw above that the Golden Ratio has this property:

ab  =  a + ba  

We can split the right-hand fraction like this:

ab  =  aa  +  ba  

ab  is the Golden Ratio φ,  aa =1 and  ba = 1φ , which gets us:

φ = 1 +  1φ  

So the Golden Ratio can be defined in terms of itself!

Let us test it using just a few digits of accuracy:

φ  = 1 +  11.618  

= 1 + 0.61805...

= 1.61805...

With more digits we would be more accurate.

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