Partial Envelopments (Leaving Cert DCG): Flashcards

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Partial Envelopments
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Partial envelopment

Label/sticker wrapped around 3D solid

Development (flat pattern)

Unwrapping label to show true flat shape

Cylinder circumference formula

C=2πRC = 2\pi R

Circumference when radius = 28.6mm

180mm (using 2π×28.62\pi \times 28.6)

Generators (on a cone)

Straight lines from apex to base circle

Cone development appears as

Sector of a circle

3 orthographic views required

Front elevation, end elevation, plan view

Cause of label distortion

Shape of underlying solid (surface geometry)

Label edges on prisms

Must align properly with prism faces

First step in construction

Draw complete orthographic projections of solid

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