Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a in C Programming
Type your answer here... give the dimensions of the rectangle with an are of 100 square units and whole number side lengths that has the largest perimeter and the smallest perimeter
2ab = area The sides of this rectangle are, a * sqrt(2) and b * sqrt(2) The equation of the ellipse reduces to, 0.5 + 0.5 = 1 Greetings, Dim Leed
The answer depends on what your criterion for deciding what is "largest". Any rectangle will have an area of 47916 square feet. Its perimeter can be infinitely large.
If the shapes are similar, such are all circles or all squares, those with the largest perimeters would also have the largest areas. However, in general there is no direct relation. For example a 2 by 2 rectangle has an area of 4 and a perimeter of 8, but a 2000 by 0.0005 rectangle has an area of 1 and a perimeter of 4000.001.
130/4 (4 sides to a rectangle)= 32.5 32.5*32.5=1065.25 square meters (because the largest area of a rectangle is always a ^ ^ square). length width
Approximately 5.66x5.66 in. Or root32 x root32
The largest rectangle would be a square. If the circle has radius a, the diameter is 2a. This diameter would also be the diameter of a square of side length b. Using the Pythagorean theorem, b2 + b2 = (2a)2. 2b2 = 4a2 b2 = 2a2 b = √(2a2) or a√2 = the length of the sides of the square The area of a square of side length b is therefore (√(2a2))2 = 2a2 which is the largest area for a rectangle inscribed in a circle of radius a.
It is 2*r^2.
56.7 cm2
Type your answer here... give the dimensions of the rectangle with an are of 100 square units and whole number side lengths that has the largest perimeter and the smallest perimeter
6 cm
It is 56/9*sqrt(42) which is approx 40.32 square units.
w 20; l 30
2ab = area The sides of this rectangle are, a * sqrt(2) and b * sqrt(2) The equation of the ellipse reduces to, 0.5 + 0.5 = 1 Greetings, Dim Leed
Since the largest area would be obtained by having adjacent sides equal to each other, and since a square is at least technically an equilateral rectangle, divide the perimeter of 72 by 4 to get sides of 18 and an area of 324.
Camp Nou (Barcelona F.C) see its dimensions at wikipedia (it's the largest legal dimensions)
Not sure if this is what is required, but the area of the largest square that will fit in a 18 by 9 rectangle is 9 by 9.