explain it's history significance and find its value in fraction /decimal.give at least five example from nature/surroundings/human body/architect u're etc manifesting the conpcet of golden ratio.
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Answer:
The golden ratio is about 1.618, and represented by the Greek letter phi. Two numbers are in the golden ratio if the ratio of the sum of the numbers (a + b) divided by the larger number (a) is equal to the ratio of the larger number divided by the smaller numbers.
Faces. Faces, both human and nonhuman, abound with examples of the Golden Ratio. The mouth and nose are each positioned at golden sections of the distance between the eyes and the bottom of the chin. Similar proportions can been seen from the side, and even the eye and ear itself (which follows along a spiral).The convergents of these continued fractions (1/1, 2/1, 3/2, 5/3, 8/5, 13/8, or 1/1, 1/2, 2/3, 3/5, 5/8, 8/13, ) are ratios of successive Fibonacci numbers. These correspond to the fact that the length of the diagonal of a regular pentagon is φ times the length of its side, and similar relations in a pentagram .The Golden Ratio is a mathematical ratio that's commonly found in nature. It can be used to create visually-pleasing, organic-looking compositions in your design projects or artwork .While the proportion known as the Golden Mean has always existed in mathematics and in the physical universe, it is unknown exactly when it was first discovered and applied by mankind. It is reasonable to assume that it has perhaps been discovered and rediscovered throughout history, which explains why it goes under several names.
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The golden ratio is about 1.618, and represented by the Greek letter phi. ... Two numbers are in the golden ratio if the ratio of the sum of the numbers (a+b) divided by the larger number (a) is equal to the ratio of the larger number divided by the smaller number (a/b)