## Area Calculator ### Instructions Create a class `AreaCalculator` that has an overloaded method `calculate` to calculate the area of different shapes. The method should be able to calculate the area for: - A circle (given the radius) - A rectangle (given the width and height) - A triangle (given the base and height) - A square (given the side length) #### Formulas for area calculations: - Circle: Area = 𝜋 × radius² - Rectangle: Area = width × height - Triangle: Area = ½ × base × height - Square: Area = side² > you can use `Math.PI` ### Expected Class ```java import java.lang.Math; public class AreaCalculator { public double calculate(double radius) { // calculate area of circle } public double calculate(double width, double height) { // calculate area of rectangle } public double calculate(double base, double height, boolean isTriangle) { // calculate area of triangle } public double calculate(double side, boolean isSquare) { // calculate area of square } } ``` ### Usage Here is a possible `ExerciseRunner.java` to test your class: ```java public class ExerciseRunner { public static void main(String[] args) { AreaCalculator calculator = new AreaCalculator(); // Test calculate area of a circle double circleArea = calculator.calculate(5.0); System.out.println("Area of circle: " + circleArea); // Test calculate area of a rectangle double rectangleArea = calculator.calculate(4.0, 6.0); System.out.println("Area of rectangle: " + rectangleArea); // Test calculate area of a triangle double triangleArea = calculator.calculate(4.0, 6.0, true); System.out.println("Area of triangle: " + triangleArea); // Test calculate area of a square double squareArea = calculator.calculate(4.0, true); System.out.println("Area of square: " + squareArea); } } ``` ### Expected Output ```shell $ javac *.java -d build $ java -cp build ExerciseRunner Area of circle: 78.54 Area of rectangle: 24.0 Area of triangle: 12.0 Area of square: 16.0 $ ```