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Geometric Measurements Fundamental Tools for Mathematical Modeling

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Geometric Measurements Calculating the Perimeter of Shapes

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The total linear measurement of the curved and/or straight lines bounding a plane area. Geometric Measurements Perimeter:

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Perimeter S4S4 S1S1 S2S2 S3S3 S 1 S 2 S 3 S 4 + = Perimeter

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Perimeter Calculate the Perimeter of a Football Field From goal line to goal line S4S4 S1S1 S2S2 S3S3 S 1 S 2 S 3 S 4 + = Perimeter End Zone 300’ 150’ Goal Lines

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Circumference The Perimeter of a Circle Radius = 0.250” Diameter = 2R = 0.500” D a = 3.14

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Calculate the Perimeter of a Triangle 4.0” 6.0” 3.0” 5.0” a b c S1 S2 S3 Note: Segment ba is congruent to segment bc and segment da is congruent to segment dc. That information is given in the figure. d S1S1 S2S2 S3S3 + = Perimeter

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Calculate the Perimeter of the 6” x 9” Plate = 3.14 Corner Radius =0.250” 5.688” 8.688” Note: To solve this problem accurately it is necessary to calculate the perimeter of the corners.

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R 0.250” Typ. 2.12” 0.56” 0.190” dia. typ. 0.5” 1.00” 45 deg. 0.71” 1.41” 0.190” typ. Calculate the Perimeter of this Component Perimeter Worksheet

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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

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Go Forth and Calculate, The End For Now

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20) 108° 21) 80° 22) 70° 23) 123° 24) 38° 25) 167° 26) 10° 27) 154° 28) 105 = 2x – 11; x = 58 29) 6x + 19 + x = 180; x = 23.

20) 108° 21) 80° 22) 70° 23) 123° 24) 38° 25) 167° 26) 10° 27) 154° 28) 105 = 2x – 11; x = 58 29) 6x + 19 + x = 180; x = 23.

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