Matematik med Desmos
lavet af Per Henrik Christiansen
lørdag den 29. maj 2021
Top 10.376
R = 0.0845509893629
If s is a Slider Value
White Area = 19.3196898987
Ratio of AD / CD = 1
Fraction = 13 / 64 = 0.203125
Easy: Incircle and Excircles.
Fraction = 5 / 8 = 0.625
Shaded = 3.14159265359
ACE = ABC = 60°
Radius R = 1.61803398875
Fraction = 33 / 80 ∼ 41.25 %
torsdag den 27. maj 2021
Top 10.375
BF = X = 7 / 2 = 3.5
Elaborated: BF = X = 7 / 2 = 3.5
Blue Fraction = 3 / 8
R of Orange Circle = 9 / 19
DGM = 118.5 = 237 / 2
Perimeter = 26.5663706144
Shaded Fraction = 14 / 27
Line Segment DM = 2
Angle CBD = X = 20°
s = 1 ⇒ R = 1 / 4
Angle BDE = X = 30°
tirsdag den 25. maj 2021
Top 10.374
Circle Area = 100.530964915
Ratio of BE / DE = 1
tan EFG = tan α = 1 / 2 = 0.5
Tan = EAF = tan X = 1 / 2
Tan FOM = tan BOC = 1 / 3
Shaded Fraction = 3 / 5 = 0.6
AC = X = 10.0498756211
X = 0.8435636080687686
Ratio of a / b = 1 / 4 = 0.25
R = 10 ⇒ | FG | = 4
Top 10.373
Radius & Length of Red Arc.
Shaded Fraction = 1 / 2 = 0.5
Yellow + Orange = 25
Easy Way
Radius R = 1.85786437627
R₃ : R₂ : R₁ = 5 : 10 : 15
R Minor = 0.231446810027
sin X = sin BAC = 1 / 3
Alternative Solution
Angle ABC = X = 45 °
EP = 2.65165042945
Green Area = ( 5 S 𝜋 / 8 ) - S
torsdag den 20. maj 2021
Top 10.372
Angle ENM = X = 75°
Area of Red Square
| AB | : | AC | = 3
SIMPLIFIED: | AB | : | AC | = 3
h = 18.5600564289
Ratio of AC / BF = 1
| DH | = X = 2
DL = 2 ⇒ Pink Area = 20 cm²
Ratio of Green / Pink = 1 / 8
Line Segment K = 3
X = 9. Y = 4
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