Shortest Distance (Leaving Cert DCG): Flashcards

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Shortest Distance
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Shortest distance between two points on a flat plane

Straight line

Technique for unfolding curved surfaces

Developing or 'opening out' the surface

Shortest distance on a developed surface

Straight line

Step 1: Finding shortest distance on curved surfaces

Identify the surface path

Step 2: creating flat layout of surfaces

Develop the surfaces (create a net)

How to connect two points on developed surface

Draw a straight line between them

Shape when cylinder's curved surface is developed

Rectangle

Width of developed cylinder surface

Circumference (πd\pi d where dd = diameter)

View showing path from the side

Elevation view

View showing path from above

Plan view

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