Top 10.441

Blue Area = 405 / 13

a / b = 1.41421356237 = √ 2

Proof: x ² = ab

GHN = 45°. Ratio of a / b = 3

Black Points are Collinear

Pink Fraction = 0.04 = 1 / 25

Blue Area = 16 Square Units

X = CD = 1

X = AC = 55

Radius R = 5 / 7

Top 10.440

x = -6. y = 15

Total = 47 Square Units

Blue / Green = 1 / 1 = 1

Shaded Fraction = 1 / 2

Blue / Yellow = 2

( Blue + Green ) / Yellow = 3 / 2

Line Segment CD = 6

Blue Area = 80 Square Units

Blue = 10𝜋 = 31.4159265359

R₁ = 0.261203874964

Top 10.439

PQ = 7.33212111193

Circle-Circle-Intersection

Fraction = 0.544198307608

Shaded Fraction = 0.6 = 3 / 5

Shaded Fraction = 2 / 5 = 0.4

Radius R = 2 cm

R = 6. R₀ = 0.260869565217

Missing Angle DEM = 35°

An Initial Attempt

Circles in Circular Segments

α = ACO = 45° / 2 = 22.5°

Top 10.438

Shaded = 10.957652102

Shaded Area = 5 Square Units

Green = 1.41421356237

Total Area = ???

x , y = ( -4 , -1 )

Orange = 3.14159265359

Segment AD = 4

Shaded Fraction = 1 / 2 = 0.5

Shaded Fraction = 0.01

JCK = 60°

Top 10.437

Area of Square

Hexagon Area = 144

X = CBD = 30°

Angle AKG = 90°

Blue Area = 16 Square Units

a / b = 1.61803398875

X = 63.4349488229 °

Proof: NP and AB are Parallel Segments

PQ and AB are Parallel Segments

X ² + Y ² = 5 a ²

X ² + Y ² in Terms of a and BOC