Geometry

Angle sum polygon · Max sides given angle sum · Regular polygon in circle area · Exterior angles · Parallel lines angles · Diagonals · Complementary supplementary · Regular polygon two polygons · Star polygon angles · Regular hexagon area

Area formulas · Median and angle area · Isosceles angle chase · Integer sides perimeter count · Acute obtuse from sides · Triangle inequality valid side · Similar triangles ratio · Inscribed rectangle max area · Incircle circumradius · Angle bisector theorem · Centroid distance · Right triangle check · Midpoint theorem · Median length · Incentre excentre angles · Altitude on hypotenuse · Crossing poles height · Angle ratio exterior angle

Chord distance · Tangent from external point · Angle between tangents · Inscribed circles area ratio · Circle meets square · Shortest longest distance from point · Arc length sector · Cyclic quadrilateral · Intersecting chords · Path around polygon at distance · Angle at centre · Common tangent length · Touching circles · Common chord · Tangent secant · Chords in sequence · Circle triangle overlap area · Circle through rectangle points · Circle terms

Area ratio inner quadrilateral · Min area from triangle areas · Parallelogram rhombus trapezium · Midpoint quadrilateral · Trapezium diagonal triangles · Quadrilateral angles · Rectangle diagonal perimeter

Area perimeter basic · Shaded region · Perimeter ordering equal area · Circle circumference minus radius · Square in circle in square · Paths and roads · Wire bent into shapes · Circular ring track · Wheel revolutions · Area change percent · Cost of fencing paving · Grazing area

Cube cuboid SA volume · Cylinder cone sphere · Melting recasting · Surface area change percent · Volume sums from surface · Earth dug platform · Cubes joined cuboid · Room dimensions from areas · Space diagonal · Cone cut parallel base · Displacement water rise · Flow through pipe · Open box from sheet · Sector rolled into cone · Painted cube counting · Inscribed solids ratio · Hollow solids · Composite solids

Distance formula · Section formula · Slope and equation forms · Slope angle between lines · Perpendicular line intercept · Concurrent lines parameter · Collinearity parameter · Polygon area from vertices · Triangle area from lines · Intercept form triangle · Equal intercepts · Triangle centres · Parallelogram fourth vertex · Point line distance · Image and shift · Triangle type from points · Pair of lines coincide

Equation centre radius · Distance point to circle min max · Circle not meeting axes · Point position wrt circle · Tangent lines to circle · Tangent length angle · Circle touching axis through point · Chord length line circle · Two circles position · Lattice points on circle · Points on circle with condition · Circle through given points · Circle intercepts on axes · Concentric ratio

Area abs x plus abs y · Lattice points in triangle · Manhattan distance count · Conic classification · Locus distance ratio · Intersection of curves distance · Locus basic · Area of region inequalities

Standard values radians · Allied angles reduction · Ratios from one ratio · Pythagorean simplification · Sin plus cos to expression · Sixth power sum · Sin n cos n · Sum of squared cosines · Compound angle · Double angle · Sum product transformations · Sums of sines cosines · Tan given expression · Linear in sin2 cos2 · Radian arc length

Max min of trig expression · Range under constraint · Equation parameter single solution · Solve in interval · Product form equation count · Compare trig expressions · Log trig equation · Sin cos equal condition

Sine rule circumradius · Cosine rule · Isosceles circumradius relation · Area half ab sin · Angles in AP triangle · Right triangle ratios · Triangle nature from sides

Two angles elevation · Angle of depression speed · Tower and shadow · Moving observer · Two objects opposite sides · Broken tree kite · Flagstaff on tower · Three d elevation