Geometry Formulas: Area and Surface Calculations for Shapes and Solids, Schemes and Mind Maps of Calculus

Formulas for calculating the area and surface area of various geometric shapes, including rectangles, triangles, circles, cylinders, cones, and spheres. The document also includes formulas for the lateral surface area of truncated cones.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/12/2022

anasooya
anasooya 🇺🇸

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ShapeS Formula
Rectangle:
Area = length x width
A = lw
Triangle
Area = 1/2 of the base x the height
a = 1/2 bh
Perimeter = a + b + c
(add the length of the three sides)
Circle
Area = πr2
Rectangular Solid
Area = 2lw + 2lh + 2wh
l
w
a
h
c
b
d
r
w
l
h
ARC SURFACE AREA CALCULATIONS
Page 1
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S h a p e S Fo r m u l a

Rectangle:

Area = length x width A = lw

Triangle

Area = 1/2 of the base x the height a = 1/2 bh Perimeter = a + b + c (add the length of the three sides)

Circle

Area = πr^2

Rectangular Solid

Area = 2lw + 2lh + 2wh

l

w

a

h

c

b

d

r

w l

h

ARC SURFACE AREA C ALCULATIONS

Page 1

S h a p e S Fo r m u l a

Cylinder

Area of Base + Top 2 x π r^2 Area of Shell π r^2 x h

Lateral Surface Area of a Cone

Area = πr^2 + πrs πrs where s = r 2 + h^2

Lateral Surface Area of a Truncated Cone

π (R + r) s where s = h^2 + (R – r)^2

Sphere

Area = 4πr^2

s

h

r

r

h

r

r

h^ s

R – r

r

ARC SURFACE AREA C ALCULATIONS

Page 2