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
Name of shape

Formulas 
Circle  
Area of circle = Π r ² Circumference of circle = 2 Π r  
Equilateral Triangle  
Area of Equilateraltriangle = (√3/4) a² Perimeter of Equilateral triangle = 3a  
Scalene Triangle  
Area of scalene triangle = √s(sa)(sb)(sc) Perimeter of scalene triangle = a + b + c  
Semi circle  
Area of Semi circle= (1/2) Π r² Perimeter of semicircle = Πr  
Quadrant  
Area of quadrant = (1/4) Π r²  
Parallelogram  
Area of parallelogram = b x h  
Quadrilateal  
Area of quadrilateral =(1/2) x d x (h₁+h₂)  
Rectangle  
Area of rectangle = L x W Perimeter of rectangle = 2(l+w)  
Square  
Area of square = a² Perimeter of square = 4a  
Rhombus  
Area of rhombus =(1/2) x (d₁ x d₂)  
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  
Path ways  
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
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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