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// area and perimeter finder//
#include <iostream>
#include <string>
using namespace std;
string shape;
string rectangle = "a";
string circle = "b";
string triangle = "c";
string ellipse = "d";
string sector = "e";
string trapezoid = "f";
string square = "g";
double pi = 3.14159;
int main ()
{
cout << "what shape do you want to find the area and perimeter of?" << endl;
cout << "type a for rectangle" << endl;
cout << "type b for circle" << endl;
cout << "type c for triangle" << endl;
cout << "type d for ellipse" << endl;
cout << "type e for sector" << endl;
cout << "type f trapezoid" << endl;
cout << "type g for square" << endl;
cin >> shape;
if (shape = rectangle)
{
double lengthRectangle, widthRectangle, areaRectangle, perimeterRectangle;
cout << "Enter the length of a rectangle: ";
cin >> lengthRectangle;
cout << "Enter the width of the rectangle: ";
cin >> widthRectangle;
cout << endl;
areaRectangle = lengthRectangle * widthRectangle;
perimeterRectangle = 2 * lengthRectangle + 2 * widthRectangle;
cout << "The area of the rectangle with length " << lengthRectangle;
cout << " units and width " << widthRectangle << " units"<< endl;
cout << "is " << areaRectangle << " square units. The perimeter is ";
cout << perimeterRectangle << " units.";
cout << endl << endl;
}
else if (shape = circle)
{
double radiusCircle, areaCircle, perimeterCircle;
cout << "enter the radius of the circle";
cin >> radiusCircle;
areaCircle = pi * (radiusCircle * radiusCircle);
perimeterCircle = 2 * pi * radiusCircle;
cout << "the area of the circle with radius " << radiusCircle << "units is " << areaCircle;
cout << "the circumference is " << perimeterCircle;
}
else if (shape = triangle)
{
double baseTriangle, widthTriangle, heightTriangle, hypotenuseTriangle, areaTriangle, perimeterTriangle;
cout << "enter the base of the triangle: ";
cin >> baseTriangle;
cout << "enter the height of the triangle: ";
cin >> heightTriangle;
areaTriangle = baseTriangle * heightTriangle * .5;
cout << "the area of the triangle is " << areaTriangle << " units.";
widthTriangle = baseTriangle * .5;
hypotenuseTriangle = sqrt((widthTriangle * widthTriangle) + (heightTriangle * heightTriangle));
perimeterTriangle = (2 * hypotenuseTriangle) + widthTriangle;
cout << "the perimeter of the triangle is " << perimeterTriangle << " units.";
}
else if (shape = ellipse)
{
double heightEllipse, widthEllipse, areaEllipse, perimeterEllipse;
cout << "enter the height of the ellipse: ";
cin >> heightEllipse;
cout << "enter the width of the ellipse: ";
cin >> widthEllipse;
areaEllipse = pi * heightEllipse * widthEllipse;
cout << "the area of the ellipse is " << areaEllipse << " units.";
perimeterEllipse = 2 * pi * (sqrt(((heightEllipse * heightEllipse) + (widthEllipse * widthEllipse)) / 2));
cout << "the perimeter of the ellipse is " << perimeterEllipse << " units.";
}
else if (shape = sector)
{
double radiusSector, thetaSector, areaSector, perimeterSector;
cout << "enter the radius of the sector: ";
cin >> radiusSector;
cout << "enter the degree (in radians) of the angle of the sector: ";
cin >> thetaSector;
areaSector = .5 * (radiusSector * radiusSector) * thetaSector;
cout << "the area of the sector is " << areaSector << " units.";
perimeterSector = 2 * radiusSector + ((thetaSector * pi * radiusSector) / 180);
cout << "the perimeter of the sector is " << perimeterSector << " units.";
}
else if (shape = trapezoid)
{
double heightTrapezoid, aTrapezoid, bTrapezoid, areaTrapezoid, perimeterTrapezoid, hypotenuseTrapezoid;
cout << "enter the width of the top of the trapezoid: ";
cin >> aTrapezoid;
cout << "enter the width of the bottom of the trapezoid: ";
cin >> bTrapezoid;
cout << "enter the height of the trapezoid: ";
cin >> heightTrapezoid;
areaTrapezoid = (.5 * (aTrapezoid + bTrapezoid)) * heightTrapezoid;
cout << "the area of the trapezoid is " << areaTrapezoid << " units.";
hypotenuseTrapezoid = sqrt ((((bTrapezoid - aTrapezoid) / 2) * (bTrapezoid - aTrapezoid) / 2)) + (heightTrapezoid * heightTrapezoid);
perimeterTrapezoid = hypotenuseTrapezoid + hypotenuseTrapezoid + aTrapezoid + bTrapezoid;
cout << "the perimeter of the trapezoid is " << perimeterTrapezoid << " units.";
}
else if (shape = square)
{
double lengthSquare, areaSquare, perimeterSquare;
cout << "enter the length of one of the square's sides.";
cin >> lengthSquare;
areaSquare = lengthSquare * lengthSquare;
cout << "the area of the square is " << areaSquare << " units.";
perimeterSquare = 4 * lengthSquare;
cout << "the perimeter of the square is " << perimeterSquare << " units.";
}
return 0;
}
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