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Calculators/Maths/Geometry

Geometry calculators

Area, perimeter, volume and surface area for flat shapes and solids, plus coordinate geometry.

CircleArea, circumference and diameter from any one measure.Circle sector & arcA wedge of a circle: arc length, area and chord.Triangle from three sidesArea, angles and centres via Heron’s formula.Right triangle / PythagorasThird side, angles and area of a right-angled triangle.Rectangle & squareArea, perimeter and diagonal.TrapezoidArea and perimeter of a four-sided figure with parallel sides.Parallelogram & rhombusArea from base and height, or from sides and angle.EllipseArea, perimeter (Ramanujan) and eccentricity.Regular polygonArea, angles and radii of an n-sided regular shape.SphereVolume and surface area from the radius.CylinderVolume, surface area and capacity of a tube or tank.ConeVolume, slant height and surface area.Rectangular prism & cubeVolume, surface area and space diagonal of a box.PyramidVolume and surface area of a rectangular-based pyramid.Torus (ring)Volume and surface of a doughnut shape.Distance, midpoint & slopeEverything about the line between two points.Area & volume unit scalingHow area and volume change when a shape is scaled.Perimeter of a SectorPerimeter of a circle sector from its radius and central angle: two radii plus the arc.Square Pyramid VolumeVolume of a square-based pyramid from its base side and height, with slant height shown.Surface Area of a Square PyramidTotal and lateral surface area of a square-based pyramid from its base side and height.Heptagon CalculatorArea and perimeter of a regular heptagon from its side length, apothem or circumradius.Area of a KiteArea of a kite from the lengths of its two diagonals.Volume of a CubeVolume, surface area and space diagonal of a cube from its side length.Area of Semicircle CalculatorArea, perimeter and arc length of a semicircle from its radius or diameter.Volume of a HemisphereVolume and surface area of a hemisphere (half a sphere) from its radius or diameter.Dodecagon CalculatorArea and perimeter of a regular 12-sided dodecagon from its side length, apothem or circumradius.Cross-Sectional AreaArea of a slice cut across a circular, rectangular or pipe-shaped object.Vertex Form CalculatorRewrites a quadratic from standard form into vertex form a(x-h)²+k, with the vertex shown.Diameter to Radius CalculatorConverts a circle’s diameter to its radius, or a radius to its diameter, both directions.Height of a TriangleSolves for a triangle’s height from its area and base, or the height of an equilateral triangle from its side.Hexagonal PyramidVolume and surface area of a right pyramid with a regular hexagonal base, from the base edge length and height.Rectangular Pyramid VolumeVolume of a pyramid with a rectangular base, from its length, width and height.Volume of Rectangle (Rectangular Box)Volume of a rectangular box (cuboid) from its length, width and height.Diagonal of a RectangleThe diagonal length of a rectangle from its two side lengths, using the Pythagorean theorem.Trapezium Prism VolumeVolume of a prism with a trapezium cross-section, from its two parallel sides, height and prism length.Area of QuadrilateralArea of any four-sided shape from the (x,y) coordinates of its four corners, using the shoelace formula.Complementary AngleThe complement (90° minus the angle) and supplement (180° minus the angle) of a given angle.Pixel Circle GeneratorWhich grid squares to fill to draw a circle of a given pixel diameter, row by row.Area of common shapesArea of a circle, square, rectangle or triangle from one shared calculator.Length and WidthSolves for the missing side of a rectangle from its area or perimeter and one known side.Euclidean DistanceStraight-line distance between two points in 2D or 3D from their coordinates.Volume in LitresVolume in litres of a box, tank or container from its length, width and height.Surface Area to Volume RatioSurface area, volume and the resulting surface-area-to-volume ratio for a cube, sphere or cylinder.Angle Between Two VectorsAngle between two 2D or 3D vectors from their components, using the dot product.Degrees in a TriangleThe fixed 180° angle sum of any triangle, plus a mini calculator for the third angle from two known ones.Aquarium VolumeVolume of a rectangular aquarium in litres and gallons, from its length, width and height.Triangle Centroid CalculatorThe centroid of a triangle, the balance point, from the coordinates of its three vertices.30-60-90 Triangle CalculatorAll three sides and the area of a 30-60-90 right triangle from any one known side.Isosceles Right Triangle CalculatorThe sides, hypotenuse and area of a 45-45-90 isosceles right triangle from any one known side.Decagon CalculatorArea and perimeter of a regular decagon from its side length, apothem or circumradius.Truncated Cone CalculatorVolume, slant height and surface area of a truncated cone (frustum) from its two radii and height.Lateral & Surface Area of a Trapezoidal PrismLateral and total surface area of a trapezoidal prism from its cross-section and length.Unit circle pointCoordinates, quadrant, reference angle and sin/cos/tan for a point on the unit circle.Perimeter of common shapesPerimeter or circumference of a rectangle, square, circle, triangle or regular polygon, from one shared calculator.Triangular prismVolume and surface area of a triangular prism from its base sides and length.CircumferenceCircumference of a circle from its radius or diameter, with area shown alongside.DiameterDiameter of a circle from its radius, area or circumference.Area of a CircleArea of a circle from its radius, diameter or circumference, plus the circumference itself.Volume of a CylinderVolume of a cylinder from its radius and height, with capacity in litres.Surface Area of a CylinderTotal and curved surface area of a cylinder from its radius and height.Triangle AreaArea of a triangle from base and height, three sides, or two sides and the included angle.Pythagoras Theorem HypotenuseSolve the Pythagorean theorem for the hypotenuse, or for a missing leg.Area of TrapeziumArea of a trapezium from the two parallel sides and the height between them.HexagonArea and perimeter of a regular hexagon from its side length, across-flats or across-corners measure.Isosceles TriangleArea, perimeter and angles of an isosceles triangle from its equal sides and base.Cone VolumeVolume of a cone from its base radius and height.Scalene TriangleArea, perimeter and angles from three sides, with a check that the triangle is scalene.Minecraft Circle GeneratorBlock-by-block grid for building a circle of a given diameter in Minecraft.RadiusRadius of a circle from its diameter, circumference or area.Sector AreaArea of a circle sector from its radius and central angle, with arc length shown alongside.Surface Area of a Triangular PrismTotal surface area of a triangular prism from its base sides and length.Triangle CalculatorSolve a triangle for its area, sides and angles from three common known-value combinations.Area of a RectangleArea of a rectangle from its length and width, with perimeter and diagonal shown alongside.Sphere VolumeVolume of a sphere from its radius, with surface area and litre capacity shown alongside.Angle of a Right TriangleFind an unknown angle of a right-angled triangle from two known sides.Circumference to DiameterConvert a circle’s circumference to its diameter, or a diameter to its circumference.Rhombus AreaArea of a rhombus from its two diagonals, or from a side length and interior angle.Diameter of a CircleRadius, circumference and area of a circle worked out from its diameter.Parallelogram AreaArea of a parallelogram from base and height, or from two sides and the included angle.Distance Formula (2D & 3D Points)Straight-line distance between two coordinate points, in a plane or in 3D space.Triangular Pyramid VolumeVolume of a triangular pyramid (tetrahedron) from its base sides and height.Pentagon ShapeArea, perimeter and angles of a regular pentagon from its side length, apothem or circumradius.Equilateral TriangleArea, perimeter, height and angles of an equilateral triangle from its single side length.OctagonArea, perimeter and angles of a regular octagon from its side length, across-flats or across-corners measure.Square Metre CalculationWork out the square metreage of a room in square metres, including an L-shaped room with an alcove.Area of a SphereSurface area of a sphere from its radius, with diameter and volume shown alongside.DiagonalDiagonal length of a rectangle, square or cube from its side lengths.

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