Area and Perimeter of Shapes Tricks and Formulas

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Pythagoras Theorem

For right triangle ABC

Right Triangle ABC

Right Triangle ABC

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For acute triangle ABC

Acute Triangle ABC

Acute Triangle ABC

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For obtuse triangle ABC

Obtuse Triangle ABC

Obtuse Triangle ABC

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Area of Triangle

When Lengths of the Sides Are Given

When lengths of the sides are given

When Lengths of the Sides Are Given

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When Lengths of the Base and Altitude Are Given

When lengths of the base and altitude are given

When Lengths of the Base and Altitude Are Given

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When Lengths of Two Sides and the Included Angle Are Given

When lengths of two sides and the included angle are given

When Lengths of Two Sides and the Included Angle Are Given

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For Equilateral Triangle

Are of Equilateral Triangle

Equilateral Triangle

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For Isosceles Triangle

Area of Isosceles Triangle

Isosceles Triangle

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Apollos Theorem

Apollus Theorem

Apollus Theorem

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If AD is the median, then:

Angle Bisector Theorem

Angle Bisector Theorem

Angle Bisector Theorem

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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 one diagonal and two offsets are given

If Lengths of One Diagonal and Two Offsets Are Given

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If Lengths of Two Diagonals and the Included Angle Are Given

If lengths of two diagonals and the included angle are given

If Lengths of Two Diagonals and the Included Angle Are Given

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For Trapezium

Area of Trapezium

Trapezium

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For Parallelogram

Area of Parallelogram

Parallelogram

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For Rhombus

Area of Rhombus

Rhombus

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The halves of diagonals and a side of a rhombus form a right angled triangle with side as the hypotenuse.

For Rectangle

Area of Rectangle

Rectangle

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Perimeter of a rectangle

For Square

Area of Square

Square

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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 of Regular Hexagon

Regular Hexagon

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Area=

Circle

Area of Circle

Circle

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Circumference

Area

Length of Arc

Area of Sector

Or

Perimeter of Sector

Ellipse

Area of Ellipse

Ellipse

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If semi-major axis and semi-minor axis

Perimeter of the Ellipse

Area of the Ellipse