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

Perimeter of the Ellipse

Area of the Ellipse