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The golden ratio is irrational, so the umber iself cannot be written out completely. It is approximately equal to 1.618033989:1. It can be represented algebraicly through the equation (1+SQRT(5))/2 or trigonometrically by the equation 1/(2cos(72)) in degrees.

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Q: Exact value golden ratio
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Related questions

What is approximate value of golden ratio?

The exact value is [1+sqrt(5)]/2 = 1.6180, approx.


Where can you find out if you have the golden ratio?

The golden ratio can be determined by dividing a line into two parts where the ratio of the whole line to the longer part is the same as the ratio of the longer part to the shorter part. It can also be seen in nature, architecture, and art. Mathematically, the golden ratio is approximately 1.618.


What is the approximate value of the golden ratio?

it is exactly (1 + √5)/2 which is approximately 1.618034


What is Phi to the first A digits?

If you mean the golden ratio, that's approximately 1.618033988749894848204586834... The exact value is (1 + (square root of 5)) / 2.


How is the value of the golden ratio found and why figures with this aspect ratio are considered to be visually appealing?

The value of the Golden Ratio is (1 + sqrt(5))/2. It is visually appealing because it is!


What number is the golden ratio?

The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.


What is golden ratio in Fibonacci series?

As you expand the Fibonacci series, each new value in proportion to the previous approaches the Golden Ratio.


What is the approximate value of the golden ratio to the nearest thousandth?

1.618


What is the relationship between the golden ratio and the standard Fibonacci sequence?

The "golden ratio" is the limit of the ratio between consecutive terms of the Fibonacci series. That means that when you take two consecutive terms out of your Fibonacci series and divide them, the quotient is near the golden ratio, and the longer the piece of the Fibonacci series is that you use, the nearer the quotient is. The Fibonacci series has the property that it converges quickly, so even if you only look at the quotient of, say, the 9th and 10th terms, you're already going to be darn close. The exact value of the golden ratio is [1 + sqrt(5)]/2


Why the golden ratio is ideal ratio?

The golden ratio is the ideal ratio because it is consistent throughout many aspects in nature - proportions of the human body, the crests and troughs of a heartbeat, the stripes on a tiger's head, et cetera. The value of the Golden Ratio is 0.5*[1 + sqrt(5)] = 1.61803 (to 5 dp)


What is the ratio known as the Golden Mean also called the Fibonacci Rectangle?

In order for two quantities to be in the Gold Ratio, also called the Golden Mean, then the ratio of the sum of the quantities to the larger quantity has to be equal to the ratio of the larger quantity, to the smaller one. The Mathematical value of the Golden Mean is 1.6180339887.


What is golden function?

Perhaps you mean the golden ratio or golden section.If you divide a segment in two so that the ratio of the small part to the large part is the same as the ratio of the large part to the whole segment, then the ratio of the two parts is known as the golden ratio. This was known to the ancient Greeks, and was said to produce pleasing images and architecture.The exact value can be found from (1 + sqrt(5))/2 = (1 + 2.2360679775...)/2 or approximately 3.236/2 = 1.618. This number is usually represented by the Greek letter phi, which looks like an "o" with a vertical line through it.The ratio can be expressed as 1.618 : 1 or 1 : 0.618 or 0.618 : 0.382.