Area and Perimeter of Shapes Tricks and Formulas

Glide to success with Doorsteptutor material for competitive exams : get questions, notes, tests, video lectures and more- for all subjects of your exam.

Pythagoras Theorem

For right triangle ABC

Illustration: Pythagoras Theorem

For acute triangle ABC

Illustration: Pythagoras Theorem

For obtuse triangle ABC

Illustration: Pythagoras Theorem

Area of Triangle

When Lengths of the Sides Are Given

Illustration: When Lengths of the Sides Are Given

When Lengths of the Base and Altitude Are Given

Illustration: When Lengths of the Base and Altitude Are Given

When Lengths of Two Sides and the Included Angle Are Given

Illustration: When Lengths of Two Sides and the Included Angle Are Given

For Equilateral Triangle

Illustration: For Equilateral Triangle

For Isosceles Triangle

Illustration: For Isosceles Triangle

Apollos Theorem

Illustration: Apollos Theorem

If AD is the median, then:

Angle Bisector Theorem

Illustration: 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

Illustration: If Lengths of One Diagonal and Two Offsets Are Given

If Lengths of Two Diagonals and the Included Angle Are Given

Illustration: If Lengths of Two Diagonals and the Included Angle Are Given

For Trapezium

Illustration: For Trapezium

For Parallelogram

Illustration: For Parallelogram

For Rhombus

Illustration: For Rhombus

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

For Rectangle

Illustration: For Rectangle

Perimeter of a rectangle

For Square

Illustration: For Rectangle

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

Illustration: Area of Regular Hexagon

Area =

Circle

Illustration: Circle

Circumference

Area

Length of Arc

Area of Sector

Or

Perimeter of Sector

Ellipse

Illustration: Ellipse

If semi-major axis and semi-minor axis

Perimeter of the Ellipse

Area of the Ellipse

Frequently Asked Questions (FAQs)