Report

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 Area S1 S 2 300’ Area 300'150' S1 Area 4500 ft S2 150’ Note: 1 acre = 43,560 square foot 2 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 Area (Circle ) R 2 Area (Circle ) 3.14 0.025 2 Area (circle ) 3.14 0.0625 Area (circle ) 0.0122in D Diameter = 2R = 0.500” 2 = 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 S2 4.0” S3 1 Area (a, b, c) base height 2 1 Area (a, b, c) 6"4" 2 2 Area (a, b, c) 12in d a 6.0” S1 3.0 ” c Calculate the Area of the 6” x 9” Plate Corner Radius =0.250” 8.688” Hole Dia. 0.190” = 3.14 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 SAcyl 2r 2rh 2 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” SAcyl 2r 2rh 2 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 = 2r = d A = r2 Go Forth and Calculate, The End For Now