Radius Converter
Calculate circumference and surface area directly using a circle's core radius.
Circumference (C) = 2 · π · r
Area (A) = π · r²
Diameter Converter
Evaluate circle bounding properties by typing its width edge-to-edge.
Circumference (C) = π · d
Area (A) = π · (d / 2)²
Circumference Decoder
Decode a total length loop backwards to uncover basic metrics.
Diameter (d) = C / π | Radius (r) = C / (2 · π)
Area (A) = π · r²
Circle Area Decoder
Input a flat area measurement to isolate the core metrics.
Radius (r) = √(A / π) | Diameter (d) = 2 · r
Circumference (C) = 2 · π · r
Square Metrics
Calculate the total 2D size space and bounding fence path.
Area (A) = s²
Perimeter (P) = 4 · s
Rectangle Metrics
Provide dual perpendicular axis values to view dynamic proportions.
Area (A) = l · w
Perimeter (P) = 2 · (l + w)
Triangle Area
Enter structural base limits and vertical drop heights.
Area (A) = 0.5 · b · h
Parallelogram Area
Evaluate slanted flat squares by calculating heights.
Area (A) = b · h
Trapezoid Area
Compute space bounded within dual parallel base offsets.
Area (A) = [ (a + b) · h ] / 2
Regular Hexagon Metrics
Evaluate a 6-sided polygon matching identical paths.
Area (A) = (3 · √3 / 2) · s²
Perimeter (P) = 6 · s
Ellipse Area
Calculate space enclosed by an asymmetric oval axis plane.
Area (A) = π · a · b
Cube Solid Metrics
Measure content spaces and skin areas for 3D blocks.
Volume (V) = s³ | Surface Area (SA) = 6 · s²
Sphere Solid Metrics
Evaluate ball loops anchored by a central line.
Volume (V) = (4/3) · π · r³ | Surface Area (SA) = 4 · π · r²
Cylinder Solid Metrics
Resolve pipe layouts holding twin disk bases.
Volume (V) = π · r² · h
Surface Area (SA) = 2·π·r·h + 2·π·r²
Cone Solid Metrics
Determine standard cone spreads tapering up into points.
Volume (V) = (1/3) · π · r² · h
Surface Area (SA) = π · r · (r + √(h² + r²))
Triangular Pyramid
Calculate metrics for regular regular tetrahedrons with uniform equilateral bases.
Volume (V) = (1/3) · BaseArea · h
BaseArea (BA) = (√3 / 4) · s²
Torus / Donut Solid
Measure full hollow rings by sweeping small tube tracks around larger hub circles.
Volume (V) = 2 · π² · R · r²
Surface Area (SA) = 4 · π² · R · r