# FORMULAS FOR SHAPES

Formulas for shapes :

Here we are going to see formulas for each shapes.Mensuration is one of the branches of mathematics.This means measurement.It is is being done in our life in many situations.

For example,

A length of cloth we need for stitching, the area of a wall which is being painted, perimeter of the circular garden to be fenced. For these kind of situation we need to use one of these formulas. Here, we cover two major areas.

1. Perimeter

2. Area

# Formulas

Circle Area of circle = Π r ²

Circumference of circle = 2 Π r

Example problems of area of circle

Example problems of circumference of circle

Equilateral Triangle Area of Equilateral-triangle = (√3/4) a²

Perimeter of Equilateral triangle = 3a

Scalene Triangle Area of scalene triangle = √s(s-a)(s-b)(s-c)

Perimeter of scalene triangle = a + b +  c

Example problems on scalene triangle

Semi circle Area of Semi circle= (1/2) Π r²

Perimeter of semi-circle = Πr

Example problems on semi circle Area of quadrant = (1/4) Π r²

Parallelogram Area of parallelogram = b x h

Example problems of area of parallelogram =(1/2) x d x (h₁+h₂)

Rectangle Area of rectangle = L x W

Perimeter of rectangl= 2(l+w)

Examples problems on area of rectangle

Examples of perimeter of rectangle

Square Area of square =

Perimeter of square = 4a

Examples problems on area of square

Examples problems on perimeter of square

Rhombus Area of rhombus =(1/2) x (d₁ x d₂)

Examples problems on perimeter of rhombus

Trapezoid

Area of trapezoid =(1/2) (a + b) x h

Sector Area of the sector = (θ/360) x Π r ² square units

(or)  Area of the sector = (1/2) x l r square units

Length of arc = (θ/360) x 2Πr

Examples problems on area of area of sector

Examples problems on length of arc

Worksheet for length of arc

Perimeter of sector worksheets

Path ways Example problems on pathways

Combined Figures Example problems on combined figures

Area around circle Formulas for shapes would be very useful for school students who are studying lower classes. Here you can find formulas almost for all the shapes. We have also given sample problems to understand these formulas. Most of the problems in mensuration can not be done without these formulas.We have explained each topic with clear pictures. Please go through the examples to understand this topic more clearly.

Related Topics

After having gone through the stuff given above, we hope that the students would have understood, formulas for shapes.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

You can also visit our following web pages on different stuff in math.

WORD PROBLEMS

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 