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Geometric Measurements. Fundamental Tools for Mathematical Modeling. Geometric Measurements. Area. A r e a. Geometric Measurements. Area:. The measurement of planar or curved surfaces expressed in square units. AREA.
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Geometric Measurements Fundamental Tools for Mathematical Modeling
Geometric Measurements Area A r e a
Geometric Measurements Area: The measurement of planar or curved surfaces expressed in square units.
AREA Calculate the Playing Area of a Football Field Fromgoal line to goal line 300’ S1 150’ S2 End Zone End Zone Note: 1 acre = 43,560 square foot
= 3.14 The 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”
b S2 4.0” S3 5.0” d c a 3.0” 6.0” S1 Calculating 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.
= 3.14 Calculate 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 Don’t forget to subtract the area of all the holes!
r h The Surface Area of a Cylinder Parts of a Cylinder = 2 Circles + 1 Rectangle Areaof a Circlex 2 Area of a Rectangle with Circumference as length Length = Circumference
3.850” 1.367” 2.00” Dia. 1.55” Calculate the Surface Area of a Gear Head Motor
Perimeter and Area of Basic Shapes s P = 2l+2w or 2(l+w) or l+w+l+w Perimeter = 4s or s+s+s+s Area = s2 l s w A = lw P = s1 + s2 + s3 C = 2r = d r s A = ½ bh h A = r2 b Quick Reference Slide
Go Forth and Calculate, The End For Now