Instantly calculate the area and perimeter of a square, rectangle, circle, triangle, parallelogram, trapezoid and rhombus. Pick the shape and enter the dimensions.
iHow it is calculated
Each 2D shape has its own formulas for area (the inner surface) and perimeter (the outline length). Pick the shape and enter the dimensions:
square: A = s² · circle: A = π r² · triangle (Heron): A = √(s(s−a)(s−b)(s−c)) · trapezoid: A = (a+b)/2 · h · rhombus: A = (d₁·d₂)/2
A circle with radius 5: area = π × 25 ≈ 78.54, circumference ≈ 31.42. A 3-4-5 triangle: area = 6, perimeter = 12.
?Frequently asked questions
How do I calculate the area of a square?
Square area = side × side (side²). Perimeter = 4 × side. For side 5: area = 25, perimeter = 20.
How do I calculate the area and perimeter of a rectangle?
Rectangle area = length × width. Perimeter = 2 × (length + width). For 4 × 3: area = 12, perimeter = 14.
How do I calculate the area and circumference of a circle?
Circle area = π × radius². Circumference (perimeter) = 2 × π × radius. For radius 5: area ≈ 78.54, circumference ≈ 31.42.
How do I calculate the area of a triangle?
With Heron’s formula from the three sides: s = (a+b+c)/2, area = √(s(s−a)(s−b)(s−c)). For 3, 4, 5: area = 6. Alternatively, area = base × height ÷ 2.
How do I calculate the area of a parallelogram?
Parallelogram area = base × height. Perimeter = 2 × (side a + side b). For base 4 and height 3: area = 12.
How do I calculate the area of a trapezoid?
Trapezoid area = ((a + b) / 2) × height, where a and b are the two parallel sides. Perimeter = a + b + c + d (all four sides). For parallel sides 6 and 10, height 3: area = 24.
How do I calculate the area of a rhombus?
Rhombus area = (d₁ × d₂) / 2 from the two diagonals. The side = √((d₁/2)² + (d₂/2)²) and perimeter = 4 × side. For diagonals 6 and 8: area = 24, perimeter = 20.
What is the difference between area and perimeter?
Area is the surface inside the shape (in square units, m²), while the perimeter is the length of the outline (in linear units, m).
What units are area and perimeter expressed in?
Perimeter in length units (cm, m, km) and area in the matching square units (cm², m², km²).
What is Heron’s formula?
A formula that gives a triangle’s area from its three side lengths without knowing the height: area = √(s(s−a)(s−b)(s−c)), where s is the semi-perimeter.
How do I find the side of a square from its area?
Take the square root of the area. If area = 49, side = √49 = 7.