Transcript Area and Volume

Geometric
Measurements
Fundamental Tools for Mathematical
Modeling
Geometric Measurements
Calculating the Perimeter of Shapes
Geometric Measurements
Perimeter:
The total linear measurement
of the curved and/or straight
lines bounding a plane area.
Perimeter
S1
S2
S3
S1
S4
S2
S3
S4
+
= Perimeter
Perimeter
Calculate the Perimeter of a Football Field
From goal line to goal line
S1
S2
S3
S4 +
300’
S1
= Perimeter
S4
S2
S3
Goal Lines
150’
Circumference
The Perimeter of a Circle
Radius = 0.250”
a
Circumfere nce  2    R
Circumfere nce  2  3.14  0.250"
Circumfere nce  6.28  0.250"
Circumfere nce  1.57"
D
Diameter = 2R = 0.500”

= 3.14
Calculate the Perimeter of a Triangle
Note: Segment ba is congruent to segment bc and segment da is
congruent to segment dc. That information is given in the figure.
S1
S2
S3 +
b
4.0”
S2
S3
= Perimeter
d
a
3.0”
6.0”
S1
c
Calculate the Perimeter of the 6” x 9” Plate
Corner Radius =0.250”
8.688”

5.688”
Note: To solve this problem accurately
it is necessary to calculate the
perimeter of the corners.
= 3.14
R 0.250” Typ.
Perimeter
Worksheet
0.190”
dia. typ.
2.12”
1.41”
45 deg.
0.71”
0.190” typ.
1.00”
0.5”
Calculate the Perimeter of this
Component
0.56”
Perimeter and Area of Basic Shapes
s
Perimeter = 4s or
s
s+s+s+s
Area =
s2
l
2(l+w) or
w
l+w+l+w
A = lw
P = s 1 + s 2 + s3
s
h
P = 2l+2w or
A = ½ bh
b
Quick Reference Slide
r
C = 2r = d
A = r2
Go Forth and Calculate,
The End
For Now