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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}= 2n r \sin(\frac{\pi}{n}) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is \pi (n-2) If we apply the cosine law to find the length of each side of the n-sided regular polygon we find
  • 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 for every positive integer k
  • SOLVED Percentage increase in area of rectangle given increase in perimeter
    One side of a rectangle is three times the other If the perimeter increases by 2%, what is the percentage increase in area? I've started with these few lines: Perimeter, P = 2x + 2x + x + x = 8x Area, 3x^2 = 3(p^2) 64 delta P= 2% delta A = dA dP delta P delta A = 3 64 (2p) 2% The answer is 4% but it doesn't look like delta A will be 4%!
  • Higher Math Calculating the Minimum Perimeter of a Triangle
    Hey there sorry if this is in the wrong thread, but I need some help with this problem I'm stuck on Give a point (a,b) with 0 < b < a determine the minimum perimeter of a triangle with one vertex at (a,b), on the x-axis, and one on the line y = x I hope someone can help guide me through
  • 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, <== I can't see an image of the package (Thinking) 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
    How much longer is the perimeter of the rectangle than the perimeter of the square? 40mm (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 data: Asq = Ar, Ar = x^3, Asq = Side(sq)^2, Psq = L the Perimeter(sq) = Lmm, so Side(s)=Lmm 4 since sq has 4 = sides
  • 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
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    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?
  • Divide a square into 7 equal parts | Math Help Forum
    1 I divided the perimeter of the square into 7 equal distances 2 I played with some geometric shapes (rectangle, triangle, ) 3 I noticed that a triangle would fit best if I take the center of the square as common vertex 4





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