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71 posts

Power of a Point

Last Updated: 23 July 2025

In geometry, circles frequently appear in problems involving tangents, secants, and chords. The Power of a Point theorem helps analyze these relationships by assigning a n...read more

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School Learning

Circle-Theorems

Count of integral points that lie at a distance D from origin

Last Updated: 13 June 2022

Given a positive integer D, the task is to find the number of integer coordinates (x, y) which lie at a distance D from origin.Example:Input: D = 1Output: 4Explanation: To...read more

Coordinate Geometry

Check if chords of a Circle are symmetric after some rotation

Last Updated: 23 July 2025

Given two Integers N and M, N indicating equidistant points on circumference of a circle and M indicating number of chords formed with those points. Also given is a vector...read more

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Equation of a normal to a Circle from a given point

Last Updated: 23 July 2025

Given three integers a, b, c representing coefficients of the equation x2 + y2 + ax + by + c = 0 of a circle, the task is to find the equation of the normal to the circle ...read more

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Geometric-Lines

Find the angle between tangents drawn from a given external point to a Circle

Last Updated: 23 July 2025

Given a positive integer R representing the radius of the circle and the center of the circle (X1, Y1) and another point (X2, Y2) in the cartesian plane, the task is to fi...read more

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Geometric-Lines

Length of intercept cut off from a line by a Circle

Last Updated: 23 July 2025

Given six integers, a, b, c, i, j, and k representing the equation of the circle(x^2 + y^2 + ax + by + c = 0)and equation of the line(ix + jy + k = 0), the task is to find...read more

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Geometric-Lines

Java Program to Calculate and Display Area of a Circle

Last Updated: 23 January 2026

Calculating the area of a circle is a basic problem in Java that uses simple mathematical operations. To calculate the area, we need the radius of the circle. The area is ...read more

Number of largest circles that can be inscribed in a rectangle

Last Updated: 23 July 2025

Given two integers L and B representing the length and breadth of a rectangle, the task is to find the maximum number of largest possible circles that can be inscribed in ...read more

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Geometric-Lines

Count points from an array that lies inside a semi-circle

Last Updated: 23 July 2025

Given two pairs (X, Y), (P, Q) and R the coordinate of the center of semi-circle, coordinate of the intersection of semicircle and diameter of the semicircle and, the radi...read more

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Geometric-Lines

Draw circle using polar equation and Bresenham's equation

Last Updated: 23 July 2025

In this article, we will discuss how to draw circles using Bresenham Equation and Polar Equation.Circle Drawing AlgorithmIt is not easy to display a continuous smooth arc ...read more

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computer-graphics

Puzzle | Circle Division by Six Straight Lines

Last Updated: 27 April 2026

Given a Circle and Six Straight Lines. What is the maximum number of pieces that one can cut the circle using these six straight lines? Check if you were right - full answ...read more

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Distance between Incenter and Circumcenter of a triangle using Inradius and Circumradius

Last Updated: 09 September 2022

Given two integers r and R representing the length of Inradius and Circumradius respectively, the task is to calculate the distance d between Incenter and Circumcenter.Inr...read more

Puzzle | Connect 9 circles each arranged at center of a Matrix using 3 straight lines

Last Updated: 18 January 2023

Consider 9 circles each arranged at the center of cells of a 2-D matrix of shape 3*3. Draw 3 straight lines without removing pen from paper such that each of the 9 circles...read more

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Find N random points within a Circle

Last Updated: 22 June 2022

Given four integers N, R, X, and Y such that it represents a circle of radius R with [X, Y] as coordinates of the center. The task is to find N random points inside or on ...read more

school-programming

Number of quadrilateral formed with N distinct points on circumference of Circle

Last Updated: 15 July 2025

Given an integer N which denotes the points on the circumference of a circle, the task is to find the number of quadrilaterals formed using these points.Examples:Input: N ...read more

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