{"success":true,"version":"v1","request":{"tool":"list_calculators","category":"geometry"},"result":{"entity_type":"calculator_list","status":"completed","count":14,"calculators":[{"calculator_id":"circle","entity_type":"calculator","name":"Circle Calculator","category":"geometry","tool_name":"calculate_circle_properties","description":"Computes the area, circumference, diameter and radius of a circle from either its radius or its diameter. Lengths are unit-agnostic: the area is in the square of the input unit.","use_when":"You know a circle's radius or diameter and need its area, circumference or the other dimension.","do_not_use_when":"The shape is an ellipse (use ellipse), a solid ball (use sphere) or a disc with thickness (use cylinder).","required_inputs":[],"optional_inputs":["radius","diameter"],"urls":{"html":"https://tttkmbb.com/geometry/circle","markdown":"https://tttkmbb.com/geometry/circle.md","schema":"https://tttkmbb.com/api/v1/calculators/circle","api":"https://tttkmbb.com/api/v1/calculate/circle"}},{"calculator_id":"triangle-area","entity_type":"calculator","name":"Triangle Area Calculator","category":"geometry","tool_name":"calculate_triangle_area","description":"Computes the area of any triangle from base and height, from three sides (Heron's formula) or from two sides and their included angle in degrees, and reports which method was used.","use_when":"You need the area of a triangle and know either its base and height, all three sides, or two sides and the angle between them.","do_not_use_when":"You need the missing sides or angles as well (use triangle-solver), or the triangle is right-angled and you want all its parts (use right-triangle).","required_inputs":[],"optional_inputs":["base","height","side_a","side_b","side_c","included_angle_deg"],"urls":{"html":"https://tttkmbb.com/geometry/triangle-area","markdown":"https://tttkmbb.com/geometry/triangle-area.md","schema":"https://tttkmbb.com/api/v1/calculators/triangle-area","api":"https://tttkmbb.com/api/v1/calculate/triangle-area"}},{"calculator_id":"right-triangle","entity_type":"calculator","name":"Right Triangle Calculator","category":"geometry","tool_name":"solve_right_triangle","description":"Solves a right triangle from any two of its sides (two legs, or one leg and the hypotenuse) using the Pythagorean theorem, and returns all sides, the two acute angles in degrees, area, perimeter and the altitude to the hypotenuse.","use_when":"You know two sides of a right-angled triangle and need the third side, the angles or the area.","do_not_use_when":"The triangle has no right angle (use triangle-solver) or you only need the hypotenuse length (pythagorean gives just that).","required_inputs":[],"optional_inputs":["leg_a","leg_b","hypotenuse"],"urls":{"html":"https://tttkmbb.com/geometry/right-triangle","markdown":"https://tttkmbb.com/geometry/right-triangle.md","schema":"https://tttkmbb.com/api/v1/calculators/right-triangle","api":"https://tttkmbb.com/api/v1/calculate/right-triangle"}},{"calculator_id":"triangle-solver","entity_type":"calculator","name":"Triangle Solver","category":"geometry","tool_name":"solve_triangle","description":"Solves a triangle from three sides (SSS) or from two sides and their included angle in degrees (SAS) with the law of cosines, returning all sides, all angles, perimeter, area, inradius, circumradius and the classification by sides and by angles.","use_when":"You know three sides, or two sides and the angle between them, and need the remaining sides and angles, the area or the triangle type.","do_not_use_when":"You know two angles and a side (ASA/AAS) or a non-included angle (SSA), which this calculator does not accept; for right triangles from two sides use right-triangle.","required_inputs":["side_a","side_b"],"optional_inputs":["side_c","angle_c_deg"],"urls":{"html":"https://tttkmbb.com/geometry/triangle-solver","markdown":"https://tttkmbb.com/geometry/triangle-solver.md","schema":"https://tttkmbb.com/api/v1/calculators/triangle-solver","api":"https://tttkmbb.com/api/v1/calculate/triangle-solver"}},{"calculator_id":"rectangle","entity_type":"calculator","name":"Rectangle Calculator","category":"geometry","tool_name":"calculate_rectangle_properties","description":"Computes the area, perimeter and diagonal of a rectangle from its length and width. Lengths are unit-agnostic; the area is in the square of the input unit.","use_when":"You need the area, perimeter or diagonal of a rectangle or square (enter equal length and width).","do_not_use_when":"The shape is a box with depth (use rectangular-prism) or a slanted quadrilateral (use parallelogram or trapezoid).","required_inputs":["length","width"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/rectangle","markdown":"https://tttkmbb.com/geometry/rectangle.md","schema":"https://tttkmbb.com/api/v1/calculators/rectangle","api":"https://tttkmbb.com/api/v1/calculate/rectangle"}},{"calculator_id":"trapezoid","entity_type":"calculator","name":"Trapezoid Calculator","category":"geometry","tool_name":"calculate_trapezoid_properties","description":"Computes the area and midsegment of a trapezoid (trapezium) from its two parallel sides and height, and the perimeter when both non-parallel legs are given.","use_when":"You need the area of a quadrilateral with exactly one pair of parallel sides, or its perimeter when all four sides are known.","do_not_use_when":"Both pairs of sides are parallel (use parallelogram or rectangle) or you only know the four sides without the height (the height cannot be derived without an angle in general).","required_inputs":["base_a","base_b","height"],"optional_inputs":["leg_c","leg_d"],"urls":{"html":"https://tttkmbb.com/geometry/trapezoid","markdown":"https://tttkmbb.com/geometry/trapezoid.md","schema":"https://tttkmbb.com/api/v1/calculators/trapezoid","api":"https://tttkmbb.com/api/v1/calculate/trapezoid"}},{"calculator_id":"parallelogram","entity_type":"calculator","name":"Parallelogram Calculator","category":"geometry","tool_name":"calculate_parallelogram_properties","description":"Computes the area of a parallelogram from base and height and, when the slanted side is given, its perimeter, the acute angle between base and side in degrees, and both diagonals.","use_when":"You need the area, perimeter, angles or diagonals of a quadrilateral whose opposite sides are parallel (including rhombi).","do_not_use_when":"All angles are right angles (use rectangle) or only one pair of sides is parallel (use trapezoid).","required_inputs":["base","height"],"optional_inputs":["side"],"urls":{"html":"https://tttkmbb.com/geometry/parallelogram","markdown":"https://tttkmbb.com/geometry/parallelogram.md","schema":"https://tttkmbb.com/api/v1/calculators/parallelogram","api":"https://tttkmbb.com/api/v1/calculate/parallelogram"}},{"calculator_id":"regular-polygon","entity_type":"calculator","name":"Regular Polygon Calculator","category":"geometry","tool_name":"calculate_regular_polygon_properties","description":"Computes the area, perimeter, interior and exterior angles in degrees, apothem, circumradius and number of diagonals of a regular polygon from its number of sides and side length.","use_when":"You need properties of an equilateral, equiangular polygon (pentagon, hexagon, octagon, …) with 3 to 100 sides.","do_not_use_when":"The polygon is irregular (split it into triangles and use triangle-area) or is a square, for which rectangle also works.","required_inputs":["number_of_sides","side_length"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/regular-polygon","markdown":"https://tttkmbb.com/geometry/regular-polygon.md","schema":"https://tttkmbb.com/api/v1/calculators/regular-polygon","api":"https://tttkmbb.com/api/v1/calculate/regular-polygon"}},{"calculator_id":"ellipse","entity_type":"calculator","name":"Ellipse Calculator","category":"geometry","tool_name":"calculate_ellipse_properties","description":"Computes the area, approximate perimeter (Ramanujan's second approximation), eccentricity and focal distances of an ellipse from its semi-major and semi-minor axes.","use_when":"You need the area or circumference of an ellipse or oval, or the position of its foci, from the two half-axes.","do_not_use_when":"Both axes are equal (use circle for exact results) or you need the arc length of part of an ellipse, which requires elliptic integrals.","required_inputs":["semi_major_a","semi_minor_b"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/ellipse","markdown":"https://tttkmbb.com/geometry/ellipse.md","schema":"https://tttkmbb.com/api/v1/calculators/ellipse","api":"https://tttkmbb.com/api/v1/calculate/ellipse"}},{"calculator_id":"sphere","entity_type":"calculator","name":"Sphere Calculator","category":"geometry","tool_name":"calculate_sphere_properties","description":"Computes the volume, surface area, diameter and great-circle circumference of a sphere from its radius. The volume is in the cube and the surface area in the square of the input unit.","use_when":"You need the volume or surface area of a ball, globe, bubble or planet from its radius.","do_not_use_when":"The object is a hemisphere or spherical cap (halve or use the cap formula), an ellipsoid, or you only need a flat circle (use circle).","required_inputs":["radius"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/sphere","markdown":"https://tttkmbb.com/geometry/sphere.md","schema":"https://tttkmbb.com/api/v1/calculators/sphere","api":"https://tttkmbb.com/api/v1/calculate/sphere"}},{"calculator_id":"cylinder","entity_type":"calculator","name":"Cylinder Calculator","category":"geometry","tool_name":"calculate_cylinder_properties","description":"Computes the volume, base area, lateral (curved) surface area and total surface area of a right circular cylinder from its radius and height.","use_when":"You need the capacity or surface of a can, tank, pipe, pillar or any straight circular cylinder.","do_not_use_when":"The cylinder is hollow (compute outer minus inner), tilted (oblique), or tapers to a point (use cone).","required_inputs":["radius","height"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/cylinder","markdown":"https://tttkmbb.com/geometry/cylinder.md","schema":"https://tttkmbb.com/api/v1/calculators/cylinder","api":"https://tttkmbb.com/api/v1/calculate/cylinder"}},{"calculator_id":"cone","entity_type":"calculator","name":"Cone Calculator","category":"geometry","tool_name":"calculate_cone_properties","description":"Computes the volume, slant height, base area, lateral (curved) surface area, total surface area and half-apex angle in degrees of a right circular cone from its base radius and height.","use_when":"You need the capacity or surface of a funnel, cone-shaped pile, roof or any right circular cone.","do_not_use_when":"The cone is truncated (frustum), oblique, or has a square base (use pyramid).","required_inputs":["radius","height"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/cone","markdown":"https://tttkmbb.com/geometry/cone.md","schema":"https://tttkmbb.com/api/v1/calculators/cone","api":"https://tttkmbb.com/api/v1/calculate/cone"}},{"calculator_id":"rectangular-prism","entity_type":"calculator","name":"Rectangular Prism Calculator","category":"geometry","tool_name":"calculate_rectangular_prism_properties","description":"Computes the volume, total surface area, space diagonal and total edge length of a rectangular prism (cuboid or box) from its length, width and height.","use_when":"You need the capacity, surface or longest internal dimension of a box, room, aquarium, container or any cuboid.","do_not_use_when":"The base is not a rectangle (use cylinder or pyramid) or you only need the floor area (use rectangle).","required_inputs":["length","width","height"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/rectangular-prism","markdown":"https://tttkmbb.com/geometry/rectangular-prism.md","schema":"https://tttkmbb.com/api/v1/calculators/rectangular-prism","api":"https://tttkmbb.com/api/v1/calculate/rectangular-prism"}},{"calculator_id":"pyramid","entity_type":"calculator","name":"Square Pyramid Calculator","category":"geometry","tool_name":"calculate_square_pyramid_properties","description":"Computes the volume, slant height, lateral edge, base area, lateral and total surface area and face slope in degrees of a right square pyramid from its base side and height.","use_when":"You need the volume or surface of a pyramid with a square base and the apex above the centre of the base.","do_not_use_when":"The base is a circle (use cone), a non-square rectangle or triangle, or the apex is off-centre (oblique pyramid).","required_inputs":["base_side","height"],"optional_inputs":[],"urls":{"html":"https://tttkmbb.com/geometry/pyramid","markdown":"https://tttkmbb.com/geometry/pyramid.md","schema":"https://tttkmbb.com/api/v1/calculators/pyramid","api":"https://tttkmbb.com/api/v1/calculate/pyramid"}}]},"timestamp":"2026-09-25T01:10:24Z","next_actions":[],"links":{"docs":"https://tttkmbb.com/calculators.md"}}