A

T

V = A

Where

A

P

h = Height

V = Volume

A

T

Surface Area(S) = 2 π r ( 2 r + a )

Circumference(C) = 2 π r

Slant Height S = √( ( r1 - r2 )

Lateral Surface Area L = π ( r1 + r2 ) s

Top Surface Area T = π r1

Base Surface Area B = π r2

Total Surface Area A = π (r1

Where,

h = Height of the pipe,

r0,r1 = Radii of the pipe.

Aspect ratio=a/b

Pixels=a*b

a = Width of the image

b = Height of the image

Where,

H = Height of the barrel

r2,r2 = Radii of the barrel

R = sqrt(x * x + y * y) ,

angle=atan(y/x)

Where,

Rectangle coordinates:

x and y - horizontal and vertical distances from the origin.

Polar coordinates(r,q):

r - the distance from the origin to the point.

q - the angle measured from the positive x axis to the point.

t - angle (in degrees).

Where,

r = radius of the cylinder,

h = height of the cylinder.

r = a / [2 tan(π / n)]

[or]

r = R cos (π / n)

R = Circumradius

π = 3.14159

a = Side length

n = Number of side

Volume of Octagonal Pyramid = (B × h) / 3

Where

Base (B) = 2 × s² (1+√2)

s = Side Length

h = Height of Pyramid

Area of the polygon = ( n x l

Regular Polygon Circumcircle Area = 3.14 x r

Where,

n = Number of sides of the polygon,

r = circumradius,

l = Length of the side of the polygon

Inradius = l / 2 * tan(PI/n)

Area of the polygon = 0.5 * n * l * r

Area of the Incircle = PI * r

Where,

n = Number of sides of the polygon,

r = Inradius,

l = Length of the side of the polygon

Length of the side of the polygon = 2 * r * sin ( PI / n )

Area of the polygon = 0.5 * n * r

Area of the Circle = PI * r

Where,

n = Number of sides of the polygon,

r = Circumradius of the polygon

V = A × l

SA = (2 × A) + (8 × a × l)

Where,

a = Side Length

l = Height

d = Distance

Area of Sector = 1/2 × Radius of Circle × Sector Angle

Area of Trapezoid = (b1 + b2) / 2 × h

Area (A) = π r

Perimeter (P) = 2 ( π r + a )

C1 = 2 π r1

C2 = 2 π r2

Lateral Surface Area (L):

L1 = 2 π r1 h

L2 = 2 π r2 h

Area (A):

A1 = π r1

A2 = π r2

A = A1 - A2

Volume (V):

V1 = π r1

V2 = π r2

V = V1 - V2

Thickness of the tube wall (t):

t = t1 - t2

where,

l = Length

b = width

h = height

Volume of Cylinder = π r

where,

r = Radius

h = height

Chord length = 2√r

r = radius of the circle

d = perpendicular distance from the chord to the circle center

Where,

r - Radius of arc

Volume = w x l x h

Where,

w = width

l = length

h = height

Where,

A = area of sector

r = radius of sector

A = π × (R

Where,

A = Area of Annulus (Annular)

R = Radius of the Outer Circle

H = Radius of the Inner Circle

L = a x √(4h

Where,

L = Lateral Surface Area

h = Height of the Pyramid

a = Side of the Pyramid

Where,

d = Diagonal of Rectangle

w = Width

h = Height

S

S=S

Where,

a = Base side

b = Base width

c = Top edge

h = Height

S

S

S = Total Surface Area of Rectangular Right Wedge

Where,

A = Area of Semicircle

r = Radius

s = (a+b+c)/2

Perimeter = a+b+c

s is semiperimeter.

A = 3√3 ( a

Where,

a = Side Length

A = Area

Exterior Angle Degrees = 180 - I

Where,

N = Number of Sides of Convex Polygon

I = Interior Angle Degrees

Where,

s=Area

a=Semimajor Axis (a)

b=Semiminor Axis (b)

k = (y

Where,

k = Gardient of Line

x1, x2, y1, y2 = Point of Coordinates

Where,

s = Area of a Circle Segment

α = Central Angle in Degree

r = Radius

sin = Sine

Where,

r = Radius of Inscribed Circle

a = Edge

R = A √2 / 2

Where,

R = Radius of Circumscribed Circle

A = Edge Length

Where,

a = Edge

S = Surface Area

V = (A

Where,

V = Volume of an Octahedron

A = Edge

Where,

r = Radius of Inscribed Circle

a = Edge

Where,

S = Area of Segment Circle

R = Radius

X =Central Angle

Where,

s = Lateral Area of an Oblique Prism

p = Perimeter

l = Lateral Edge

Where,

v = Volume of a Prism

b = Area of Base

h = Height

Where,

m = Slant Height

b = Lateral Edge

a = Side of Base

Where,

S

b = Lateral Edge

a = Side of Base

Where,

n = Number of Sides

a = Side of Base

b = Lateral Edge

S

Where,

S = Area

L = Perimeter

r = Radius of Inscribed Circle

Where,

b = Lateral Edge

n = Number of Sides

a = Side of Base

S

S = S

Where,

S = Total Surface Area (TSA)

S

S

n = Number of Sides

b = Lateral Edge

V = (1/3) S

Where,

V = Volume of Regular Pyramid

S

Where,

r = Radius of Inscribed Circle

d1,d2 = Diagonals

a,b = Sides of Quadrilateral

p = Perimeter

Where,

a = Chord

h = Height of the Segment

R = Radius of a Circle

Where,

h = Height of a Segment

R = Radius of a Circle

a = Chord

L = s + a

Where,

L = Perimeter

s = Arc Length

a = Chord

h = Height of Segment

R = Radius of Circle

S = (1/2) * [ sR - a(R - h) ]

Where,

S = Area

a = Chord

s = Arc Length

R = Radius of a Circle

h = Height of the Segment

Where,

s = Total Surface Area

p = Perimeter

l = Lateral Edge

b = Area of Base

Sagitta Length = Radius ± √(Radius

Interior Angle Degrees = 180 - E

Where,

N = Number of Sides of Convex Polygon

E = Exterior Angle Degrees

Where,

h = Height of the Pyramid

b = Base of the Pyramid

Where,

s = Slant Height of Square Pyramid

h = Height

a = Side Length

Where,

h = Scalene Triangle Height

k = Area

Base = Length of Base

Common Rafters = B / (2 x cos α)

Hip Rafters = √(H

Hip Roof Area = 2 x Common Rafters x Roof Base Length

Where,

H = Roof Rise

B = Roof Base Width

α = Roof Pitch

tan = Tangent

cos = Cosine

S = (2 * π *r

Where,

S = Area of Tube

r = Radius

h = Height

Where,

S = Surface Area of Tube

R = Outer Radius

r = Inner Radius

h = Height

S = 2 x π x r x h

Where,

S = Lateral Surface Area of a Cylinder

r = Radius

h = Height

C = 2 * 3.14 * r

Where,

C = Circumference of Circle

r = Radius of Circle

Where,

h = Height / Altitude of a Right Square Prism

v = Volume

a = Area

r = c / (2 * π)

Where,

r = Radius of Circle

π = 3.14

c = Circumference of Circle

r = (h/2) + (w

C = 2 tan

if(C < 0)

C = 360 + C

l = C × 2 Π r / 360

Where,

r = Radius of Arc

h = Height of Arc

w = Width of Arc

C = Center Angle of Arc

l = Length of Arc

C = 2 * π * √((a

Where,

C = Circumference of Ellipse

a = Major Axis

b = Minor Axis

P = a + b + √(a

Where,

p = Perimeter of Right Angle Triangle

a = Height

b = Base

Diameter of Circle = 2r

Circumference of Circle = 2 πr = πd

Area of Sector = πr² (θ/360)

Where,

r = radius

V = (1/2) * π

Where,

V = Volume of Hypersphere

r = Radius of Sphere

Where,

A = Curved Surface Area of Cuboid

h = Height

l = Length

b = Breadth

Curved Surface Area = 2 × π × r × h

Where,

r= Radius

h = Height

Area = 3 × S

Where,

s = Side Length

Where,

r = Radius

h = Height

l = √(r

Where,

t = Total Surface Area

r = Radius

h = Height

l = Slant Height

l = √(r

Where,

c = Curved Surface Area

r = Radius

h = Height

l = Slant Height

Where,

r = Radius

h = Height

Where,

d = Diagonal of Rectangle Prism

l = Length of Rectangle Prism

w = Width of Rectangle Prism

h = Height of Rectangle Prism

Where,

R = Radius

A = Area of Circle Segment

θ = Central Angle

Where,

a = Side length

n = 5

Y

Where,

H = Height of Parallelogram

B = Width of Parallelogram

C = Length of Parallelogram