Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

Appendix 687

Parallelogram

Trapezoid

n-sided polygon

Circle

Ellipse

b

b

aa

Apab

R

ApR

2

b

Aa

n

4

bb

2

cota

180°

n

b

h

a

b

A

1

2

1 ab 2 h

h

b

Abh Cylinder

Right circular cone

Sphere

Trapezoidal rule:

yn

y 1

h

y 0 y 2 y 3

Aha

1

2

y 0 y 1 y 2  p yn 2 yn 1 

1

2

ynb

R

A 4 pR

2

h

s

R

ApRspR 2 R

2

h

2

h

R

A 2 pRh

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