Geometric Measurements Fundamental Tools for Mathematical Modeling Geometric

Geometric Measurements Fundamental Tools for Mathematical Modeling

Geometric Measurements Area

Geometric Measurements Area: The measurement of planar or curved surfaces expressed in square units.

AREA Calculate the Playing Area of a Football Field From goal line to goal line 300’ S 2 End Zone S 1 150’ Note: 1 acre = 43, 560 square foot

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 6 x 9 Plate. Radius = 0. 250” a D Diameter = 2 R = 0. 500” = 3. 14

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. b 0” 5. S 2 4. 0” S 3 d a 6. 0” S 1 3. 0” c

Calculate the Area of the 6” x 9” Plate Corner Radius =0. 250” 8. 688” = 3. 14 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!

The Surface Area of a Cylinder Parts of a Cylinder = 2 Circles + 1 Rectangle r Area of a Circle x 2 Area of a Rectangle with Circumference as length h Length = Circumference

Calculate the Surface Area of a Gear Head Motor 3. 850” 1. 367” 2. 00” Dia. 1. 55”

Perimeter and Area of Basic Shapes s Perimeter = 4 s or s s+s+s+s Area = s 2 l 2(l+w) or w l+w+l+w A = lw P = s 1 + s 2 + s 3 s h P = 2 l+2 w or A = ½ bh b Quick Reference Slide r C = 2 r = d A = r 2

Go Forth and Calculate, The End For Now