Circle :
Formulas :
Area of circle = Πr2
Circumference of circle = 2Πr
Example problems of area of circle
Example problems of circumference of circle
Semicircle :
Formulas :
Area of semicircle = Πr2 / 2
Circumference of circle = Πr
Example problems on semi circle
Quadrant :
Formulas :
Area of quadrant = Πr2 / 4
Example problems on quadrant
Equilateral Triangle :
Formulas :
Area of equilateral triangle = (√3/4)a2
Perimeter of equilateral triangle = 3a
Example problems on equilateral triangle
Scalene Triangle :
Formulas :
Area of scalene triangle = √[s(s-a)(s-b)(s-c)]
Perimeter of scalene triangle = a + b + c
Example problems on scalene triangle
Parallelogram :
Formulas :
Area of parallelogram = b x h
Perimeter of parallelogram = 2(a + b)
Example problems of perimeter of parallelogram
Quadrilateral :
Formulas :
Area of quadrilateral = (1/2) x d x (h1 + h2)
Perimeter of quadrilateral = a + b + c + d
Example problems of area of quadrilateral
Rectangle :
Formulas :
Area of rectangle = l x w
Perimeter of rectangle = 2(l + w)
Examples problems on area of rectangle
Examples of perimeter of rectangle
Square :
Formulas :
Area of square = a x a
Perimeter of square = 4a
Examples problems on area of square
Examples problems on perimeter of square
Rhombus :
Formulas :
Area of rhombus = (d1 x d2) / 2
Perimeter of rhombus = 4a
Examples problems on area of rhombus
Examples problems on perimeter of rhombus
Trapezoid :
Formulas :
Area of trapezoid = h(a + b) / 2
Perimeter of trapezoid = a + b + c + d
Examples problems on area of trapezoid
Sector :
Formulas :
Length of arc (l) = (θ/360) ⋅ 2Πr
When we know the radius "r" of the circle and central angle "θ" of the sector :
Area of the sector = (θ/360°) ⋅ Π r2
When we know the radius "r" of the circle and arc length "l":
Area of the sector = (l ⋅ r) / 2
Worksheet for length of arc
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WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
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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 fractions
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
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
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