- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

In case of a given circle, chord and tangent is met at a particular point. The angle in the alternate segment is provided. The main job here is to find the angle between the chord and the tangent.

Input: z = 40 Output: 40 degrees Input: z = 60 Output: 60 degrees

Let, angle QPR is the given angle in the alternate segment.

Let, the angle between the chord and circle = angle RQY = a

Because line drawn from center on the tangent is perpendicular,

So, angle CQR = 90-a

As, CQ = CR = radius of the circle

So, angle CRQ = 90-a

Now, in triangle CQR,

angle CQR + angle CRQ + angle QCR = 180

angle QCR = 180 - (90-a) - (90-a)

angle QCR = 2a

As angle at the circumference of a circle be the half the angle at the centre subtended by the same arc,so, angle QPR = a

Hence, angle QPR = angle RQY

The approach is implemented in following way −

// C++ program to find the angle // between a chord and a tangent // at the time when angle in the alternate segment is given #include <bits/stdc++.h> using namespace std; void anglechordtang(int z1){ cout<< "The angle between tangent" <<" and the chord is " << z1 <<" degrees" << endl; } // Driver code int main(){ int z1 = 40; anglechordtang(z1); return 0; }

The angle between tangent and the chord is 40 degrees

- Related Questions & Answers
- Angle Between Hands of a Clock in C++
- Find a time for which angle between hour and minute hands is given theta in C++
- Arc length from given Angle in C++?
- Arc length from given Angle?
- Angle between two Planes in 3D in C++?
- What are start angle and end angle of arc in HTML5 canvas?
- Angle between two Planes in 3D in C Program?
- Program to find angle between hour and minute hands of a clock in C++?
- Maximize the given number by replacing a segment of digits with the alternate digits given in C++
- Check if it is possible to create a polygon with a given angle in Python
- Get the angle whose sine is float value argument in C#
- Program to find the Interior and Exterior Angle of a Regular Polygon in C++
- Step Angle in Stepper Motor
- Find other two sides and angles of a right angle triangle in C++
- Parse and balance angle brackets problem in JavaScript

Advertisements