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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
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
Perimeter of Triangle - Math Help Forum Given a point (a,b) with 0 < b < a, determine the minimum perimeter of a triangle with one vertex at (a,b), one on the x-axis, and one on the line y=x Thanks!
Perimeter - Math Help Forum How would I solve this? "The perimeter of a rectangle is 40 cm If the length were doubled and the width halved, the perimeter would be increased by 16cm Find the dimensions of the original rectangle "
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!