Title: Area%20and%20Volume
1Geometric Measurements
Fundamental Tools for Mathematical Modeling
2Geometric Measurements
Area
A r e a
3Geometric Measurements
Area
The measurement of planar or curved surfaces
expressed in square units.
4AREA
Calculate the Playing Area of a Football Field
From goal line to goal line
300
S1
150
S2
End Zone
End Zone
Note 1 acre 43,560 square foot
5The Area of a Circle
Note This is a small circle with a radius equal
to that of the corner radius of the GEARS-IDS 6x9
Plate.
Radius 0.250
a
D
Diameter 2R 0.500
6Calculating the Area 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.
7Calculate the Area of the 6 x 9 Plate
Corner Radius 0.250
8.688
Hole Dia. 0.190
5.688
Note A precise solution to this problem requires
breaking the area up into multiple small areas
Dont forget to subtract the area of all the
holes!
8The Surface Area of a Cylinder
Parts of a Cylinder 2 Circles 1 Rectangle
Area of a Circle x 2
Area of a Rectangle with Circumference as length
Length Circumference
9Calculate the Surface Area of a Gear
Head Motor
10Perimeter and Area of Basic Shapes
Quick Reference Slide
11Go Forth and Calculate,
The End
For Now