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 find the angle between the chord and the tangent.
Examples:
Input: z = 48 Output: 48 degrees Input: z = 64 Output: 64 degrees
Approach:
- Let, angle BAC is the given angle in the alternate segment.
- let, the angle between the chord and circle = angle CBY = z
- as line drawn from center on the tangent is perpendicular,
- so, angle OBC = 90-z
- as, OB = OC = radius of the circle
- so, angle OCB = 90-z
- now, in triangle OBC,
angle OBC + angle OCB + angle BOC = 180
angle BOC = 180 – (90-z) – (90-z)
angle BOC = 2z - as angle at the circumference of a circle is half the angle at the centre subtended by the same arc,
so, angle BAC = z - hence, angle BAC = angle CBY
Below is the implementation of the above approach:
C++
// C++ program to find the angle// between a chord and a tangent// when angle in the alternate segment is given#include <bits/stdc++.h>using namespace std;void anglechordtang(int z){ cout << "The angle between tangent" << " and the chord is " << z << " degrees" << endl;}// Driver codeint main(){ int z = 48; anglechordtang(z); return 0;} |
Java
// Java program to find the angle// between a chord and a tangent// when angle in the alternate segment is givenimport java.io.*;class GFG { static void anglechordtang(int z) { System.out.print( "The angle between tangent" + " and the chord is " + z + " degrees"); } // Driver code public static void main (String[] args) { int z = 48; anglechordtang(z); }}// This code is contributed by anuj_67.. |
Python3
# Python3 program to find the angle# between a chord and a tangent# when angle in the alternate segment is givendef anglechordtang(z): print("The angle between tangent", "and the chord is", z , "degrees");# Driver codez = 48;anglechordtang(z);# This code is contributed# by Princi Singh |
C#
// C# program to find the angle// between a chord and a tangent// when angle in the alternate segment is givenusing System;class GFG { static void anglechordtang(int z) { Console.WriteLine( "The angle between tangent" + " and the chord is " + z + " degrees"); } // Driver code public static void Main () { int z = 48; anglechordtang(z); }}// This code is contributed by anuj_67.. |
Javascript
<script>// javascript program to find the angle// between a chord and a tangent// when angle in the alternate segment is givenfunction anglechordtang(z){document.write( "The angle between tangent" + " and the chord is " + z + " degrees");}// Driver codevar z = 48;anglechordtang(z);// This code is contributed by Amit Katiyar </script> |
Output:
The angle between tangent and the chord is 48 degrees
Time Complexity: O(1)
Auxiliary Space: O(1)
Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
