Calculate the area and perimeter of 2D shapes including rectangles, circles, triangles, trapezoids, and regular polygons. Choose your shape and enter dimensions.
Area
60 cm²
Area
60
cm²
Perimeter
32
cm
Formula Used
A = l × w
| Shape | Area Formula | Perimeter |
|---|---|---|
| Square | A = s² | P = 4s |
| Rectangle | A = lw | P = 2(l + w) |
| Circle | A = πr² | C = 2πr |
| Triangle | A = ½bh | P = a + b + c |
| Trapezoid | A = ½(a+b)h | P = a + b + c + d |
| Parallelogram | A = bh | P = 2(a + b) |
| Ellipse | A = πab | ≈ π(a+b)(1+3h/(10+√(4-3h))) |
| Rhombus | A = ½d₁d₂ | P = 4s |
Area
60 cm²
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Area measures the space inside a 2D shape. Rectangle: length x width. Square: side squared. Circle: pi x radius squared. Triangle: (base x height) / 2. Trapezoid: ((base1 + base2) x height) / 2. Area is always expressed in square units (sq ft, sq m, cm squared, etc.).
Area is the measure of the two-dimensional space enclosed within a shape's boundaries. It quantifies how much surface a flat figure covers and is expressed in square units such as square meters, square feet, or square centimeters. Area calculations are fundamental to geometry, construction, real estate, and many practical applications.
Area measures the space inside a 2D shape. Rectangle: length x width. Square: side squared. Circle: pi x radius squared. Triangle: (base x height) / 2. Trapezoid: ((base1 + base2) x height) / 2. Area is always expressed in square units (sq ft, sq m, cm squared, etc.).
Area is the amount of two-dimensional space enclosed within a shape. It's measured in square units (like cm², m², or ft²). Area tells you how much surface a shape covers, such as flooring, paint coverage, or land size.
Area measures the space inside a 2D shape (in square units), while perimeter measures the total length around the outside (in linear units). Area tells you how much carpet you need, while perimeter tells you how much fencing.
For irregular shapes, you can: (1) Break it into regular shapes, calculate each area, and add them up; (2) Use the grid method by overlaying squares and counting; (3) Use calculus for curves; (4) Measure using digital tools or planimeters.
Square the linear conversion factor. For example: 1 m² = 10,000 cm² (because 100² = 10,000). 1 ft² = 144 in² (because 12² = 144). 1 acre = 43,560 ft². 1 hectare = 10,000 m².
The basic formula is A = ½ × base × height. You can also use Heron's formula when you know all three sides: A = √(s(s-a)(s-b)(s-c)) where s is the semi-perimeter (a+b+c)/2.
A regular polygon has all sides equal length and all interior angles equal. Examples: equilateral triangle, square, regular pentagon, regular hexagon. Their area formulas involve the side length and special constants.
Last updated: 2025-01-15
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Area
60 cm²