1. Geometric Measurements Fundamental Tools for Mathematical Modeling

2. Geometric Measurements Area

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

4. AREA Calculate the Playing Area of a Football Field From goal line to goal line S2S2 S1S1 End Zone 300’ 150’ Note: 1 acre = 43,560 square foot

5. The Area of a Circle Radius = 0.250” Diameter = 2R = 0.500” D a = 3.14 Note: This is a small circle with a radius equal to that of the corner radius of the GEARS-IDS 6x9 Plate.

6. 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. 4.0” 6.0” 3.0 ” 5.0” a b c S1 S2 S3 d

7. Calculate the Area of the 6” x 9” Plate = 3.14 Corner Radius =0.250” 5.688” 8.688” 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! Hole Dia. 0.190”

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

9. Calculate the Surface Area of a Gear Head Motor 2.00” Dia. 1.55” 3.850” 1.367”

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

11. Go Forth and Calculate, The End For Now