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Perimeter of a circle as a limit of inscribed regular sided polygon 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)
Changing dimension in a rectangle - Math Help Forum so where do i start for this problem? the length l of a rectangle is decreasing at the rate of 2 cm sec while the width w is increasing at the rate of 2 cm sec when l=12cm and w= 5cm, find the rates of change of area, perimeter, and the lengths of the diagonals of the rectangle
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
Area of a Regular Pentagon | Math Help Forum The perimeter of the building has the shape of a regular pentagon with each side of length 921 ft Find the area enclosed by the perimeter of the building