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Perimeter of a circle as a limit of inscribed regular sided polygon Canada Discussion Starter Sep 9, 2024 #1 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
Summing areas of squares | Math Help Forum A square S1 has a perimeter of 40 inches The vertices of a second square S2 are the midpoints of the sides of S1 The vertices of a third square S3 are the midpoints the sides of S2 Assume the process continues indefinitely, with the vertices of S K+1 being the midpoints of the sides of Sk
Maximizing Area Differentials - Math Help Forum A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288 inches Find the radius of the semicircle that will maximize the area of the window I don't even know where to start, what does the picture even look like? AND The measurement of the edge of a
Upper and Lower Bounds - Math Help Forum 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
Rectangular Package | Math Help Forum A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches Here, there is a picture, which is a 3D package, with length of y, and with of x The problem is the following: Give a formula for the volume of the package
Perimeter of a rectangle. - Math Help Forum How would I find the answer to A rectangular flat-screen computer monitor has a diagonal that measures 20 inches The ratio of the length of the screen to the width of the screen is 4 to 3 What is the perimeter of the screen, in inches?
Relationship between Area of Square and Rectangle - Math Help Forum The perimeter of the square has length 160 mm How much longer is the perimeter of the rectangle than the perimeter of the square? (b) Same question but this time the perimeter of the square is L mm and the long side of the rectangle is x times as long as the short side You are looking for the difference in perimeters, or P r − P s