Given two integers A and X, denoting the length of a side of a rhombus and an angle respectively, the task is to find the area of the rhombus.
A rhombus is a quadrilateral having 4 sides of equal length, in which both the opposite sides are parallel, and opposite angles are equal.
Examples:
Input: A = 4, X = 60
Output: 13.86Input: A = 4, X = 30
Output: 8.0
Approach:For a Rhombus ABCD having the length of a side a and an angle x, the area of triangle ABD can be calculated using Side-Angle-Side property of triangle by the following equation:
Area of Triangle ABD = 1/2 (a2) sin x
Area of Rhombus ABCD will be double the area of ABD triangle.Therefore, Area of Rhombus ABCD = (a2) sin x
Below is the implementation of the above approach:
C++
// C++ Program to calculate// area of rhombus from given// angle and side length#include <bits/stdc++.h>using namespace std;#define RADIAN 0.01745329252// Function to return the area of rhombus// using one angle and side.float Area_of_Rhombus(int a, int theta){ float area = (a * a) * sin((RADIAN * theta)); return area;}// Driver Codeint main(){ int a = 4; int theta = 60; // Function Call float ans = Area_of_Rhombus(a, theta); // Print the final answer printf("%0.2f", ans); return 0;}// This code is contributed by Rajput-Ji |
Java
// Java Program to calculate// area of rhombus from given// angle and side lengthclass GFG{static final double RADIAN = 0.01745329252; // Function to return the area of rhombus// using one angle and side.static double Area_of_Rhombus(int a, int theta){ double area = (a * a) * Math.sin((RADIAN * theta)); return area;}// Driver Codepublic static void main(String[] args){ int a = 4; int theta = 60; // Function Call double ans = Area_of_Rhombus(a, theta); // Print the final answer System.out.printf("%.2f", ans);}}// This code is contributed by Rajput-Ji |
Python3
# Python3 Program to calculate # area of rhombus from given # angle and side length import math # Function to return the area of rhombus # using one angle and side. def Area_of_Rhombus(a, theta): area = (a**2) * math.sin(math.radians(theta)) return area # Driver Code a = 4theta = 60 # Function Call ans = Area_of_Rhombus(a, theta) # Print the final answerprint(round(ans, 2)) |
C#
// C# Program to calculate// area of rhombus from given// angle and side lengthusing System;class GFG{static readonly double RADIAN = 0.01745329252; // Function to return the area of rhombus// using one angle and side.static double Area_of_Rhombus(int a, int theta){ double area = (a * a) * Math.Sin((RADIAN * theta)); return area;}// Driver Codepublic static void Main(String[] args){ int a = 4; int theta = 60; // Function Call double ans = Area_of_Rhombus(a, theta); // Print the readonly answer Console.Write("{0:F2}", ans);}}// This code is contributed by Rajput-Ji |
Javascript
<script>// Javascript Program to calculate// area of rhombus from given// angle and side length // Function to return the area of rhombus// using one angle and side. function Area_of_Rhombus(a, theta){ var area = (a**2) * Math.sin(theta *Math.PI/180); return area ;} // Driver Code a = 4theta = 60 // Function Call ans = Area_of_Rhombus(a, theta) // Print the final answerdocument.write(Math.round(ans * 100) / 100);</script> |
13.86
Time Complexity: O(1)
Auxiliary Space: O(1)
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