Area & Perimeter Calculator — Circle, Rectangle, Triangle & More
Calculate area and perimeter for seven shapes: circle, rectangle, square, triangle, trapezoid, parallelogram, and hexagon. Includes interactive diagrams.
Area & Perimeter
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Circumference (Perimeter)
31.415927
Diameter
10
Scenario Comparison
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Area
78.539816 sq units
Perimeter: 31.415927
Diameter
10
Formula in Action
Area
A = πr²
π × 5 × 5
78.539816
Circumference
C = 2πr
2 × π × 5
31.415927
All Shape Formulas
circle
A = πr²
C = 2πr
rectangle
A = l × w
P = 2(l + w)
triangle
A = ½bh
P = a + b + c
square
A = s²
P = 4s
trapezoid
A = ½(a + b)h
—
parallelogram
A = b × h
P = 2(a + b)
hexagon
A = (3√3/2)s²
P = 6s
Why This Matters
Of all shapes with the same perimeter, a circle encloses the maximum area. This is why bubbles form spheres — nature minimizes surface area for a given volume.
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