Area and Perimeter of Shapes Tricks and Formulas
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Pythagoras Theorem
For right triangle ABC
For acute triangle ABC
For obtuse triangle ABC
Area of Triangle
When Lengths of the Sides Are Given
When Lengths of the Base and Altitude Are Given
When Lengths of Two Sides and the Included Angle Are Given
For Equilateral Triangle
For Isosceles Triangle
Apollos Theorem
If AD is the median, then:
Angle Bisector Theorem
If AD is the angle bisector for angle A, then:
Area of Quadrilateral
For Cyclic Quadrilateral
If Lengths of One Diagonal and Two Offsets Are Given
If Lengths of Two Diagonals and the Included Angle Are Given
For Trapezium
For Parallelogram
For Rhombus
The halves of diagonals and a side of a rhombus form a right angled triangle with side as the hypotenuse.
For Rectangle
Perimeter of a rectangle
For Square
Area of a square
Area of 4 walls of a room
Polygons
Number of Diagonals
The Sum of All the Interior Angles
The Sum of All the Exterior Angles
Area of Regular Hexagon
Area =
Circle
Circumference
Area
Length of Arc
Area of Sector
Or
Perimeter of Sector
Ellipse
If semi-major axis and semi-minor axis