formulas for every geometrical shae
Here are some common formulas for calculating the area and perimeter of different geometric shapes:
1. Square:
- Area = side length squared (A = s^2)
- Perimeter = 4 times side length (P = 4s)
2. Rectangle:
- Area = length times width (A = l x w)
- Perimeter = 2 times length plus 2 times width (P = 2l + 2w)
3. Circle:
- Area = pi times radius squared (A = πr^2)
- Circumference = 2 times pi times radius (C = 2πr)
4. Triangle:
- Area = 0.5 times base times height (A = 0.5bh)
- Perimeter = sum of all three sides (P = a + b + c)
5. Parallelogram:
- Area = base times height (A = bh)
- Perimeter = 2 times base plus 2 times side length (P = 2b + 2s)
6. Trapezoid:
- Area = 0.5 times sum of parallel sides times height (A = 0.5(a + b)h)
- Perimeter = sum of all four sides (P = a + b + c + d)
7. Rhombus:
- Area = 0.5 times diagonal 1 times diagonal 2 (A = 0.5d1d2)
- Perimeter = 4 times side length (P = 4s)
8. Cube:
- Surface Area = 6 times side length squared (SA = 6s^2)
- Volume = side length cubed (V = s^3)
9. Cylinder:
- Surface Area = 2 times pi times radius times height plus 2 times pi times radius squared (SA = 2πrh + 2πr²)
- Volume = pi times radius squared times height (V = πr²h)
10. Sphere:
- Surface Area = 4 times pi times radius squared (SA = 4πr²)
- Volume = 4/3 times pi times radius cubed (V = (4/3)πr³)