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Page 982 of 2547
Biggest Square that can be inscribed within an Equilateral triangle?
Here we will find the side length and area of the biggest square that can be inscribed within an equilateral triangle. Given an equilateral triangle with side length 'a', we need to determine the maximum square that fits inside it. Triangle a x Side = a Syntax float squareSide = a / (1 + 2/sqrt(3)); float squareArea = squareSide * squareSide; Where 'a' ...
Read MoreBiggest Reuleaux Triangle within A Square?
Here we will see the area of biggest Reuleaux triangle inscribed within a square. The side of the square is 'a'. And the height of the Reuleaux triangle is h. h = a a a Side = a The height of the Reuleaux triangle is same as a. So a = h. ...
Read MoreBiggest Reuleaux Triangle within a Square which is inscribed within a Circle?
Here we will see the area of biggest Reuleaux triangle inscribed within a square, that square is inscribed inside one circle. The side of the square is a and the radius of the circle is r. As we know that the diagonal of the square is the diameter of the circle. Circle (radius r) Square (side a) Reuleaux Triangle Syntax float areaReuleaux(float radius); Mathematical Relationship Since the diagonal of the square equals the diameter of the ...
Read MoreBiggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle?
Here we will see how to find the area of the biggest Reuleaux triangle inscribed within a square, where that square is inscribed inside a right angled triangle. A Reuleaux triangle is a curved triangle with constant width formed by the intersection of three circles. b (base) l a h (hypotenuse) The side of the square inscribed in a right angled triangle with height ...
Read MoreBiggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse?
Here we will see how to calculate the area of the biggest Reuleaux triangle inscribed within a square, where that square is inscribed inside an ellipse. We know that the major axis length is 2a, and the minor axis length is 2b. The side of the square is 'x', and the height of the Reuleaux triangle is h. 2a (major axis) 2b (minor axis) ...
Read MoreBiggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon?
Here we will see the area of biggest Reuleaux triangle inscribed within a square which is inscribed in a regular hexagon. Suppose 'a' is the side of the hexagon. The side of the square is x and the height of the Reuleaux triangle is h. Hexagon (side a) Square (side x) Reuleaux Triangle (height h) ...
Read MoreBiggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle?
Here we will see the area of biggest Reuleaux triangle inscribed within a square which is inscribed in an equilateral triangle. A Reuleaux triangle is a shape formed by the intersection of three circles of equal radius, creating a curved triangle with constant width. Equilateral Triangle (side = a) Square ...
Read MoreBiggest Reuleaux Triangle inscirbed within a square inscribed in a semicircle?
Here we will see how to calculate the area of the biggest Reuleaux triangle inscribed within a square which is inscribed in a semicircle. Given the radius of the semicircle as R, the side of the square as 'a', and the height of the Reuleaux triangle as h. Semicircle (radius R) Square (side a) Reuleaux Triangle Center ...
Read MoreArray with GCD of any of its subset belongs to the given array?
In this problem, we need to generate an array such that the GCD of any subset of that array belongs to the given set of elements. The constraint is that the generated array should not be more than thrice the length of the given set. Syntax int gcd(int a, int b); int getGCDofArray(int arr[], int n); void generateArray(int arr[], int n); Algorithm The algorithm works as follows − Calculate the GCD of the entire given array Check if this GCD equals the minimum element of the array If yes, insert the GCD ...
Read MoreArray sum after dividing numbers from previous?
Here we will see one interesting problem. We will take one array, then find the sum by taking each element after dividing it by the previous elements. Let us consider an array is {5, 6, 7, 2, 1, 4}. Then the result will be 5 + (6 / 5) + (7 / 6) + (2 / 7) + (1 / 2) + (4 / 1) = 12.15238. Syntax float divSum(int arr[], int n); Algorithm divSum(arr, n) begin sum := arr[0] for i := 1 to ...
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