Given a circle having a chord and an angle subtended by chord on center of the circle. The task here is to find the measure of the angle subtended by given chord on the circumference.
Examples:
Input:= 90 Output: ABC = 45.00 degrees Input:
Approach:
- Let AC be an chord of a circle with centre O, and let C be any point on the circumference anywhere.
- Let, angle AOC(on center) is the given .
- So angle should be on the circumference,
angle ABC = angle AOC/2
An angle at the circumference of a circle is the half angle at the centre subtended by the same chord.
Below is the implementation of the above approach:
C++
// C++ Program to calculate angle // on the circumference subtended // by the chord when the central angle // subtended by the chord is given #include <iostream> using namespace std; float angleOncirCumference(float z) { return (z / 2); } // Driver code int main() { // Angle on center float angle = 65; float z = angleOncirCumference(angle); cout << "The angle is " << (z) << " degrees"; return 0; } // This code is contributed by jit_t |
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Java
// Java Program to calculate angle on the circumference // subtended by the chord when the central angle // subtended by the chord is given class GFG { static float angleOncirCumference(float z) { return (z / 2); } // Driver code public static void main(String[] args) { // Angle on center float angle = 65; float z = angleOncirCumference(angle); System.out.println("The angle is " + z + " degrees"); } } |
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Python3
# Python3 Program to calculate angle # on the circumference subtended # by the chord when the central angle # subtended by the chord is given def angleOncirCumference(z): return (z / 2); # Driver code # Angle on center angle = 65; z = angleOncirCumference(angle); print("The angle is", (z), "degrees"); # This code is contributed by Rajput-Ji |
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C#
// C# Program to calculate angle on the circumference // subtended by the chord when the central angle // subtended by the chord is given using System; public class GFG { static float angleOncirCumference(float z) { return (z / 2); } // Driver code public static void Main(String[] args) { // Angle on center float angle = 65; float z = angleOncirCumference(angle); Console.WriteLine("The angle is " + z + " degrees"); } } // This code is contributed by Rajput-Ji |
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Output:
The angle is 32.5 degrees
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