Question

ABCD is a silver rectangle whose sides are in the ratio 1: (√ 2 - 1) . By assembling such 4 silver rectangles, we can made a regular octagon (as shown in the picture). What is the ratio of the area of silver rectangle to the area of the octagon? ABCD एक सिल्वर आयत है जिसकी लम्बाई और चौड़ाई का अनुपात 1: (√ 2 - 1) है। इस तरह के 4 आयतों को इकट्ठा करके हम एक नियमित अष्टकोण बना सकते हैं जैसा कि चित्र में दिखाया गया है। अष्टकोण और इस आयत के क्षेत्रफल का अनुपात क्या है

Answer 1

Answer:

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Answer 2

Answer:

In mathematics, two quantities are in the silver ratio (or silver mean)[1][2] if the ratio of the smaller of those two quantities to the larger quantity is the same as the ratio of the larger quantity to the sum of the smaller quantity and twice the larger quantity (see below). This defines the silver ratio as an irrational mathematical constant, whose value of one plus the square root of 2 is approximately 2.4142135623. Its name is an allusion to the golden ratio; analogously to the way the golden ratio is the limiting ratio of consecutive Fibonacci numbers, the silver ratio is the limiting ratio of consecutive Pell numbers. The silver ratio is denoted by δS.