Answer key Circle unit

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Circle unit Key
KEY
Kekuli Measurement
Radius
(using Pythagoras)
Diameter
(r x 2)
Distance to P from Centre:
(given)
Length of entrance opening from
circumference:
Width of entrance at opening:
Radius of fire circle:
Radius of smoke hole:
Depth of seats on circumference:
(chord theory, Pythagoras,
subtract from radius)
Central angle at entrance beams:
Inscribed angle:
Height of central support beams:
Height of ceiling 2m from centre:
Height of entrance:
12 post Option
3m
6m
6m
1.52m
1.60m
Varies by student choice. Should be between 1-2.0 meters
for optimal measuring ease of math.
Varies by student choice, but is 2/3 of diameter of smoke
hole
Ie. 1m diameter fire circle: 0.667m smoke hole
Ie. 1.5m diameter fire circle: 1m smoke hole
Ie. 2.0m diameter fire circle: 1.333m smoke hole
0.86m
30◦
15◦
Varies by student choice, but use Chord theory and
Pythagoras.
I.e. 1m diameter fire circle: 2.95m tall support beams
I.e. 1.5m diameter fire circle: 2.90m tall support beams
I.e. 2.0m diameter fire circle: 2.83m tall support beams
2.24m
Varies by student choice.
If entrance is at 2.75m, height = 1.20m
If entrance is at 2.60m, height = 1.50m
If entrance is at 2.50m, height = 1.66m
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