Geometry Calculator

Geometry, Mensuration & Coordinate Calculator

Calculate 2D plane perimeter & area, 3D solid volume & surface area, and 2D analytic coordinate vectors

Plane Shape Selection

Unit of Measure

Radius (r)

Side a

Side b

Side c

Length (l)

Width (w)

Base a

Base b

Height (h)

Number of Sides (n) e.g., 6 = Regular Hexagon

Side Length (s)

Semi-major Axis (a)

Semi-minor Axis (b)

Calculated Surface Area

78.540 m²

Perimeter / Boundary: 31.416 m

Perimeter / Circumference 31.416 m Outer boundary path

Characteristic Metric d = 10.000 m Diameter = 2r

Equivalent Incircle Radius (r_in) 5.000 m Max inscribed circle

Equivalent Circumcircle (R_out) 5.000 m Outer circumscribed circle

Solid Body Selection

Unit of Measure

Radius (r)

Height (h)

Base Radius (r)

Height (h)

Length (l)

Width (w)

Height (h)

Base Edge (a)

Vertical Height (h)

Major Radius (R) Distance from center to tube center

Minor Tube Radius (r) Tube cross-section radius

Enclosed Solid Volume (V)

113.097 m³

113,097.3 Liters • Total Surface Area: 113.097 m²

Total Surface Area (TSA) 113.097 m² Complete external boundary area

Lateral / Curved Surface Area 113.097 m² Excluding bases

Surface-to-Volume Ratio (A/V) 1.000 m⁻¹ Volumetric compactness index

Space Diagonal / Chord 6.000 m Maximum span across solid

Point A Coordinates (x₁, y₁)

x₁

y₁

Point B Coordinates (x₂, y₂)

x₂

y₂

Euclidean Distance |AB|

10.000 units

Line Equation: 3x + 4y – 7 = 0 (y = -0.75x + 1.75)

Midpoint Coordinates (M) (1.000, 1.000) Center bisector datum

Line Segment Slope (m) -0.750 Angle: -36.87° (-0.644 rad)

Perpendicular Bisector Line y = 1.333x – 0.333 Orthogonal slope m_perp = 1.333

Displacement Vector Δ = (Δx, Δy) (8.000, -6.000) Δx = 8.000, Δy = -6.000