Largest sphere that can be inscribed in a right circular cylinder inscribed in a frustum
Given here is a frustum of height h, top-radius r & base-radius R, which inscribes a right circular cylinder which in turn inscribes a sphere… Read More »
Category Archives: Geometric
Geometric Median
In normal median, we find a point that has minimum sum of distances. Similar concept applies in 2-D space. Given N points in 2-D space,… Read More »
Biggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse
Given an ellipse with major axis length and minor axis 2a & 2b respectively which inscribes a square which in turn inscribes a reuleaux triangle.… Read More »
Maximum given sized rectangles that can be cut out of a sheet of paper
Given the length L and breadth B of a sheet of paper, the task is to find the maximum number of rectangles with given length… Read More »
Largest right circular cone that can be inscribed within a sphere which is inscribed within a cube
Given a cube of side length a, which inscribes a sphere which in turn inscribes a right circular cone. The task is to find the… Read More »
Biggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon
Given a regular hexagon of side length a which inscribes a square which in turn inscribes a reuleaux triangle. The task is to find the… Read More »
Rectangle with minimum possible difference between the length and the width
Given an integer area, the task is to find the length and breadth of a rectangle with the given area such that the difference between… Read More »
Biggest Reuleaux Triangle inscirbed within a square inscribed in a semicircle
Given here is a semicircle of radius r which inscribes a square which in turn inscribes a reuleaux triangle. The task is to find the… Read More »
Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle
Given here is an equilateral triangle of sidelength a which inscribes a square which in turn inscribes a reuleaux triangle. The task is to find… Read More »
Find the area of largest circle inscribed in ellipse
Given an ellipse, with major and minor axis length 2a & 2b respectively. The task is to find the area of the largest circle that… Read More »
Find K Closest Points to the Origin
Given a list of points on the 2-D plane and an integer K. The task is to find K closest points to the origin and… Read More »
Program for Area Of Square after N-th fold
A square is a flat shape, in one plane, defined by four points at the four corners. A square has four sides all of equal… Read More »
Check whether two straight lines are orthogonal or not
Given two line segments AB and CD having A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4). The task is to check whether these two… Read More »
Biggest Square that can be inscribed within an Equilateral triangle
Given here is an equilateral triangle of side length a. The task is to find the side of the biggest square that can be inscribed… Read More »
Biggest Reuleaux Triangle within a Square which is inscribed within a Circle
Given here is a circle of radius r, which inscribes a square which in turn inscribes a reuleaux triangle. The task is to find the… Read More »