Convert gradian to degree
In geometry and trigonometry, angles are often measured in degrees. However, there are other angular measurement systems as well, such as radians and gradians. Gradians, also known as gon or grad, is an angular measurement system where a right angle is divided into 100 gradians, much like how a degree is divided into 60 minutes. Converting between different angular units is a common task, especially when working with various mathematical and scientific applications.
Problem Statement and Description
The problem at hand is to convert an angle given in gradians to its equivalent value in degrees. The formula to
convert from gradians to degrees is (gradian * 180) / 200
. This formula takes the given angle in
gradians, multiplies it by 180, and then divides by 200 to obtain the equivalent angle in degrees.
Example
Let's take an example to understand the problem better. Suppose we have an angle of 50 gradians that we want to convert to degrees. Using the formula:
Degree = (Gradian * 180) / 200
Degree = (50 * 180) / 200
Degree = 45
So, 50 gradians is equivalent to 45 degrees.
Idea to Solve the Problem
To solve this problem, we need to implement a program that takes a value in gradians as input, applies the conversion formula, and then outputs the equivalent angle in degrees. We will use a function to perform this conversion, and the main program will call this function for different test cases.
Pseudocode
Here's the pseudocode for the program:
function gradian_to_degree(gradian):
degree = (gradian * 180) / 200
return degree
Algorithm Explanation
- Define the
gradian_to_degree
function that takes a parametergradian
. - Inside the function, calculate the equivalent degree using the formula
(gradian * 180) / 200
. - Return the calculated degree.
- In the
main
program, call thegradian_to_degree
function with different test cases: 1, 70.8, and 1000.5. - Print the results.
Code Solution
//C Program
//Convert gradian to degree
#include <stdio.h>
#include <math.h>
//Find the degree of given gradian
void gradian_to_degree(double gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
double degree = (gradian * 180) / 200;
//Display result
printf("Gradian : %lf Degree : %lf\n", gradian, degree);
}
int main()
{
//Simple test
gradian_to_degree(1);
gradian_to_degree(70.8);
gradian_to_degree(1000.5);
return 0;
}
Output
Gradian : 1.000000 Degree : 0.900000
Gradian : 70.800000 Degree : 63.720000
Gradian : 1000.500000 Degree : 900.450000
/*
Java program
Convert gradian to degree
*/
class MyMath
{
//Find the degree of given gradian
public void gradian_to_degree(double gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
double degree = (gradian * 180) / 200;
System.out.print("Gradian : " + gradian + " Degree : " + degree + "\n");
}
public static void main(String[] args)
{
MyMath obj = new MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
}
}
Output
Gradian : 1.0 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
/*
C++ program
Convert gradian to degree
*/
#include<iostream>
using namespace std;
class MyMath
{
public:
//Find the degree of given gradian
void gradian_to_degree(double gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
double degree = (gradian * 180) / 200;
cout << "Gradian : " << gradian << " Degree : " << degree << "\n";
}
};
int main()
{
MyMath obj = MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
return 0;
}
Output
Gradian : 1 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
/*
C# program
Convert gradian to degree
*/
using System;
class MyMath
{
//Find the degree of given gradian
public void gradian_to_degree(double gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
double degree = (gradian * 180) / 200;
Console.Write("Gradian : " + gradian + " Degree : " + degree + "\n");
}
public static void Main(String[] args)
{
MyMath obj = new MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
}
}
Output
Gradian : 1 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
<?php
/*
Php program
Convert gradian to degree
*/
class MyMath
{
//Find the degree of given gradian
public function gradian_to_degree($gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
$degree = ($gradian * 180) / 200;
echo "Gradian : ". $gradian ." Degree : ". $degree ."\n";
}
}
function main()
{
$obj = new MyMath();
//Simple test
$obj->gradian_to_degree(1);
$obj->gradian_to_degree(70.80);
$obj->gradian_to_degree(1000.50);
}
main();
Output
Gradian : 1 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
/*
Node Js program
Convert gradian to degree
*/
class MyMath
{
//Find the degree of given gradian
gradian_to_degree(gradian)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
var degree = (gradian * 180) / 200;
process.stdout.write("Gradian : " + gradian + " Degree : " + degree + "\n");
}
}
function main()
{
var obj = new MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
}
main();
Output
Gradian : 1 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
# Python 3 program
# Convert gradian to degree
class MyMath :
# Find the degree of given gradian
def gradian_to_degree(self, gradian) :
# Formula : (gradian*180)/200
# Calculate given gradian to degree
degree = (gradian * 180) / 200
print("Gradian : ", gradian ," Degree : ", degree ,"\n", end = "")
def main() :
obj = MyMath()
# Simple test
obj.gradian_to_degree(1)
obj.gradian_to_degree(70.80)
obj.gradian_to_degree(1000.50)
if __name__ == "__main__": main()
Output
Gradian : 1 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
# Ruby program
# Convert gradian to degree
class MyMath
# Find the degree of given gradian
def gradian_to_degree(gradian)
# Formula : (gradian*180)/200
# Calculate given gradian to degree
degree = (gradian * 180) / 200
print("Gradian : ", gradian ," Degree : ", degree ,"\n")
end
end
def main()
obj = MyMath.new()
# Simple test
obj.gradian_to_degree(1)
obj.gradian_to_degree(70.80)
obj.gradian_to_degree(1000.50)
end
main()
Output
Gradian : 1 Degree : 0
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
/*
Scala program
Convert gradian to degree
*/
class MyMath
{
//Find the degree of given gradian
def gradian_to_degree(gradian: Double): Unit = {
// Formula : (gradian*180)/200
// Calculate given gradian to degree
var degree: Double = (gradian * 180) / 200;
print("Gradian : " + gradian + " Degree : " + degree + "\n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var obj: MyMath = new MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
}
}
Output
Gradian : 1.0 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
/*
Swift program
Convert gradian to degree
*/
class MyMath
{
//Find the degree of given gradian
func gradian_to_degree(_ gradian: Double)
{
// Formula : (gradian*180)/200
// Calculate given gradian to degree
let degree: Double = (gradian * 180) / 200;
print("Gradian : ", gradian ," Degree : ", degree ,"\n", terminator: "");
}
}
func main()
{
let obj: MyMath = MyMath();
//Simple test
obj.gradian_to_degree(1);
obj.gradian_to_degree(70.80);
obj.gradian_to_degree(1000.50);
}
main();
Output
Gradian : 1.0 Degree : 0.9
Gradian : 70.8 Degree : 63.72
Gradian : 1000.5 Degree : 900.45
Time Complexity
The time complexity of this program is constant for each conversion, as it involves only basic arithmetic operations like multiplication and division. Regardless of the value of the input gradians, the number of operations remains the same. Therefore, the time complexity can be considered O(1).
Please share your knowledge to improve code and content standard. Also submit your doubts, and test case. We improve by your feedback. We will try to resolve your query as soon as possible.
New Comment