AREA AND PERIMETER FORMULA FOR ALL SHAPES

On the webpage "area and perimeter formula for all shapes" we are going to see formula for each and every shapes in math.

What is perimeter?

The continuous line forming the boundary of a closed geometrical figure.

What is area?

The extent or measurement of a surface or piece of land.

AREA AND PERIMETER OF SQUARE Area of square = a²

Perimeter of square = 4a

here "a" stands for side length of square.

Examples problems on perimeter of square

Next we are going to see a formula for the next shape rectangle of the topic "area and perimeter formula for all shapes"

AREA AND PERIMETER OF RECTANGLE Area of rectangle = L x W

Perimeter of rectangle = 2(l + w)

Here L and w represents length and width of rectangle.

Examples problems on area of rectangle

Examples of perimeter of rectangle

Next we are going to see a formula related to equilateral triangle of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF EQUILATERAL TRIANGLE Area of Equilateral triangle = (√3/4) a²

Perimeter of Equilateral triangle = 3a

Here "a" represents side length of triangle.

Example problems on equilateral triangle

Next we are going to see a formula related to scalane  triangle of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF SCALANE TRIANGLE Area of scalene triangle = √s(s-a)(s-b)(s-c)

Perimeter of scalene triangle = a + b +  c

here "s = (a + b + c)/2"

Example problems on scalene triangle

Next we are going to see a formula related to quadrilateral of the topic area and perimeter formula for all shapes Area of quadrilateral =(1/2) x d x (h₁+h₂)

Perimeter of quadrilateral = Sum of all four sides

Example problems of area of quadrilateral

Next we are going to see  formula related to parallelogram  of the topic area and perimeter formula for all shapes

AREA AND PERIMETER OF PARALLELOGRAM Area of parallelogram = b x h

Perimeter of quadrilateral = Sum of all four sides

Example problems of area of parallelogram

AREA AND PERIMETER OF RHOMBUS Area of rhombus =(1/2) x (d₁ x d₂)

Examples problems on perimeter of rhombus

AREA AND PERIMETER OF TRAPEZIUM

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

Examples problems on area of trapezoid

AREA AND CICUMFERENCE OF 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

AREA AND PERIMETER OF SEMI CIRCLE Area of Semi circle= (1/2) Π r²

Perimeter of semi circle = (Π+2)r

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

Perimeter of quadrant = [(Π/2) + 2] r

AREA AND PERIMETER OF 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

Perimeter of sector = L + 2r

Examples problems on area of sector

Examples problems on length of arc

Worksheet for length of arc

Perimeter of sector worksheets

Area of sector worksheet

AREA AND VOLUME OF CUBE Curved surface area of cube = 4a²

Total surface area = 6a²

Volume of cube = a³

AREA AND VOLUME OF CUBOID Curved surface area of cube = 2h (L + b)

Total surface area = 2(Lb + bh + hL)

Volume of cuboid = L x b x h

Here "L" "b" and "h" stands for length,breadth and height respectively.

AREA AND VOLUME OF CYLINDER Curved surface area = 2 Π r h

Total surface area = 2 Π r (h + r)

Volume = Π r² h

Examples problems of cylinder

AREA AND VOLUME OF HOLLOW CYLINDER Curved surface area= 2Π h (R+r)

Total surface area =  2 Π (R + r) (R - r + h)

Volume = Π h (R² - r²)

Curved surface area practice Worksheets1

Curved surface area practice Worksheets2

AREA AND VOLUME OF CONE Curved Surface area = Π r L

Total surface area = Π r (L + r)

Volume = (1/3) Π r²h

L² = r² + h²

Examples of cone

AREA AND VOLUME OF SPHERE Curved Surface area = 4 Π r²

Volume = (4/3) Π r³

Curved Surface area of hemisphere = 2 Π r²

Total Surface area of hemisphere = 3Πr²

Volume = (2/3) Π r³

AREA AND VOLUME OF HOLLOW HEMISPHERE Curved Surface area = 2 Π (R² + r²)

Total Surface area = Π (3 R² + r²)

Volume = (2/3) Π (R³ - r³)