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Formula for geometrical figures

Perimeter formula

Square

      4 × side = 4a

Rectangle

2 × (length + width) = 2(l + b)

Parallelogram

2 × (side1 + side2) = 2(a + b)

Triangle

Sum of side = a+b+c

Regular n-polygon

n × side

Trapezoid/Trapezium

Sum of side =  a+b+c+d

Circle

2 × pi × radius = 2πr

pi (π) = 3.1415926535 ...

Area formula

Square

side2 = a2

Rectangle

length × width =lb

Parallelogram

base × height = bh

Triangle

Trapezoid/Trapezium

Circle

pi × radius2 = πr2

Cube (surface)

6 × side2 = 6 × a2

Sphere (surface)

4 × pi × radius2 = 4πr2

Cylinder (surface of side)

बेलन का वक्र पृष्ट क्षेत्रफल

perimeter of circle × height = 2πrh

Cylinder (whole surface)

बेलन का सम्पूर्ण पृष्ट क्षेत्रफल

Areas of top and bottom circles + Area of the side

= 2(pi × radius2) + 2 × pi × radius × height

= 2πr2 + 2πrh

Cone (surface)

pi × radius × side

Torus (surface)

pi2 × (radius22 - radius12)

Ellipse

pi × radius1 × radius2 = π×r1×r2

 

Volume formula
Cube              side3 = a3            
Cuboid Length × breadth × height = lbh
Sphere
Cylinder
Cone
Rectangular Prism side1 × side2 × side3
Pyramid (1/3) × (base area) × height
Torus (1/4) × pi2 × (r1 + r2) × (r1 - r2)2