## Distance between centers of two intersecting circles if the radii and common chord length is given

Given are two circles, with given radii, which intersect each other and have a common chord. The length of the common chord is given. The… Read More »

## Exterior angle of a cyclic quadrilateral when the opposite interior angle is given

Given cyclic quadrilateral inside a circle, the task is to find the exterior angle of the cyclic quadrilateral when the opposite interior angle is given.… Read More »

## Angle between a chord and a tangent when angle in the alternate segment is given

Given a circle whose chord and tangent meet at a particular point. The angle in the alternate segment is given. The task here is to… Read More »

## Radii of the three tangent circles of equal radius which are inscribed within a circle of given radius

Given here is a circle of a given radius. Inside it, three tangent circles of equal radius are inscribed. The task is to find the… Read More »

## Check if a circle lies inside another circle or not

Given two circles with radii and centres given. The task is to check whether the smaller circle lies inside the bigger circle or not. Examples:… Read More »

## Number of common tangents between two circles if their centers and radius is given

Given two circles with a given radius and centres. The task is to find the number of common tangents between these circles. Examples: Input: x1… Read More »

## Count of distinct rectangles inscribed in an equilateral triangle

Given an equilateral triangle made of dots (.) joined together to form triangle and an integer n which represents the length of the sides of… Read More »

## Ratio of the distance between the centers of the circles and the point of intersection of two transverse common tangents to the circles

Given two circles, of given radii, such that the circles don’t touch each other. The task is to find the ratio of the distance between… Read More »

## Program to find the number of region in Planar Graph

Given two integers V and E which represent the number of Vertices and Edges of a Planar Graph. The Task is to find the number… Read More »

## Ratio of the distance between the centers of the circles and the point of intersection of two direct common tangents to the circles

Given two circles of given radii, such that the circles don’t touch each other, the task is to find the ratio of the distance between… Read More »

## Length of the transverse common tangent between the two non intersecting circles

Given two circles of given radii, having there centres a given distance apart, such that the circles don’t touch each other. The task is to… Read More »

## Area of plot remaining at the end

Given two integers N and M that represent the length and breadth of a rectangular plot and another integer K that represent the number of… Read More »

## Length of direct common tangent between two intersecting Circles

Given two circles, of given radii, have there centres a given distance apart, such that the circles intersect each other at two points. The task… Read More »

## Radius of the circle when the width and height of an arc is given

Given a circle in which the width and height of an arc are given. The task is to find the radius of the circle with… Read More »

## Shortest distance from the centre of a circle to a chord

Given a circle which has a chord inside it. The length of the chord and the radius of the circle are given. The task is… Read More »