Web Reference: Oct 12, 2012 · No triangle exists that minimizes that condition. However, the infinum of the perimeters of all such triangles = twice the distance from (a,b) to the line y = x. That's just an application of the triangle inequality after picking the first two points (one is on the line, the other is (a,b)) of any triangle. Sep 9, 2024 · Show that the perimeter Pn of an n-sided regular polygon inscribed in a circle of radius r is P n = 2 n r sin (π n) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is π (n 2) . If we apply the cosine law to find the length of each side of the n-sided regular polygon we find c 2 = 2 r 2 2 r 2 cos (4 π n π) Mar 9, 2010 · To granddad Really sorry if i am getting back to you on this. For the first question perimeter of square , the data was the following: Upper bound perimeter=27.26cm Lower bound perimeter=27.22cm Give the perimeter of the square to an appropriate degree of accuracy As you said The true value of the perimeter lies between 27.22 cm and 27.26 cm.
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