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Geometry Shape Calculator

Pick a shape, enter its dimensions and get area, perimeter, volume and surface area — with step-by-step working and a live diagram.

r = ?

Circle

Area = πr²  ·  Circumference = 2πr

📐 2D Shape Formulas

  • Circle: A = πr², C = 2πr
  • Square: A = a², P = 4a
  • Rectangle: A = l×w, P = 2(l+w)
  • Triangle: A = ½bh
  • Parallelogram: A = bh
  • Trapezium: A = ½(a+b)h

📦 3D Shape Formulas

  • Cube: V = a³, SA = 6a²
  • Cuboid: V = lwh, SA = 2(lw+lh+wh)
  • Cylinder: V = πr²h, TSA = 2πr(r+h)
  • Cone: V = ⅓πr²h, l = √(r²+h²)
  • Sphere: V = (4/3)πr³, SA = 4πr²

💡 Useful Tips

  • π (pi) ≈ 3.14159 (use 22/7 as approximation)
  • Area is always in square units (cm², m²…)
  • Volume is always in cubic units (cm³, m³…)
  • Height of a triangle is always perpendicular to the base
  • CSA = Curved Surface Area, TSA = Total Surface Area