Area of a Circular Sector

A circular sector or circle sector is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Let’s look at this figure and try to figure out the sector: source: Wikipedia ( https://goo.gl/mWijn2 )

In this figure the green shaded part is a sector, “r” is the Radius and “theta” is the angle as shown. Here, we can say that the shaded portion is the minor sector and the other portion is the major sector. “L” is the Arc of the Sector. For more, visit Sector.
Now let’s see the formula using which the sector of a circle can be calculated. The area of the sector is similar to the calculation of the area of the circle, just multiply the area of the circle with the angle of the sector.
Examples:

Input:
angle = 60
Explanation:
Sector = ( pi * 9*9 ) * ( 60 / 360 )
Output: 42.42857142857142

Input:
angle = 145
Explanation:
Sector = ( pi * 20*20 ) * ( 145 / 360 )
Output: 506.3492063492063

C++

 // C++ program to find Area of a Sector #include using namespace std;    void SectorArea(double radius,double angle) {     if(angle >= 360)         cout<<"Angle not possible";            // Calculating area of the sector     else     {         double sector = ((22 * radius * radius) / 7)                         * (angle / 360);         cout<

Java

 // Java program to find Area of a Sector    class GFG  {     static void SectorArea(double radius,double angle)     {         if(angle >= 360)             System.out.println("Angle not possible");                    // Calculating area of the sector         else         {             double sector =((22 * radius * radius) / 7)                             * (angle / 360);             System.out.println(sector);         }     }            // Driver code     public static void main (String[] args)     {         double radius = 9;         double angle = 60;         SectorArea(radius, angle);     } } // This code is contributed by Anant Agarwal.

Python3

 # Python program to find Area of a Sector    def SectorArea(radius, angle):     pi = 22 / 7            # Constraint or Limit     if angle >= 360:         print("Angle not possible")         return            # Calculating area of the sector     else:         sector = (pi * radius ** 2) * (angle / 360)         print(sector)         return    # Driver code  radius = 9 angle = 60 SectorArea(radius, angle)

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C#

 // C# program to find Area of a Sector using System;    class GFG {            static void SectorArea(double radius, double angle)     {                    if (angle >= 360)             Console.WriteLine("Angle not possible");            // Calculating area of the sector         else {             double sector = ((22 * radius * radius) / 7)                             * (angle / 360);                                            Console.WriteLine(sector);         }     }        // Driver code     public static void Main()     {         double radius = 9;         double angle = 60;                    SectorArea(radius, angle);     } }    // This code is contributed by vt_m.

PHP

 = 360)         echo("Angle not possible");            // Calculating area of the sector     else     {         \$sector = ((22 * \$radius * \$radius)                      / 7) * (\$angle / 360);         echo(\$sector);     } }     // Driver code        \$radius = 9;     \$angle = 60;     SectorArea(\$radius, \$angle);        // This code is contributed by vt_m. ?>

Output:

42.42857142857142

Reference: Wikipedia (Circular Sector)