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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
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
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
Perimeter of right triangle with inscribed circle Question: The radius of the inscribed circle is 5 If the length of the hypotenuse of the right triangle ABC is 19, what is the perimeter of the triangle?
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
Divide a square into 7 equal parts - Math Help Forum Can you help me devide a square into seven equal parts? Each having the same amount of perimeter and the same area? It seems like everything I do I just end up with 8 peices Is this not possible? And if it isn't possible how do I prove that it's not possible? Thank you!