Top 10.897

X = CD = 6

Radius R = 1.26794919243

X = BR = 12

Angle AED = 105

Orange Area = 24.7798566409

Mathematical Proof

X = CAP = 75

Segment AD = 4

Top 10.896

Angle CAE = Angle ABE

BAC = CBD = 30

Rectangle ABCD = 2.2360679775

Blue Area = 9.19734544454

Improved / Elaborated

h1 < 46.188022 & h2 < 138.56406

Triangle Area = 9

Shaded Fraction = 1 / 3

X = 2.73205080757

Radius R = 12.5

X = AFB = 75

Top 10.895

X = BCE = 50

Circle Area = 31.4159265359

Blue Quadrilateral Area = 18

Orange Area = 71.712347072

Green Area = 13.3608247423

Shaded = 6 / 13 = 0.461538461538

Yellow Area = 80

X = CD = 10.5 = 21 / 2

Shaded Area = 5.07179676972

7.49193338483 ≤ X ≤ 8

Top 10.894

The Shaded Area = 3

X = CGD = 71.5650511771

Blue Area = 90. Yellow Area = 76

Blue Area = 10.472135955

Radius R = 3.46410161514

Blue Area = 25.4558441227

X = BAC = 105

X = ABC = 41.4096221093

( c + d ) / ( a + b ) = 1.41421356237

X = 0.61803398875

Top 10.893

Height h = 30

R1 = 10. R = 22.5

Circular Segment = 70.7148717794

Square Area = 24.5 = 49 / 2

X = BC = 9.48683298051

Hypotenuse AC = 1.4 = 7 / 5

Shaded Area = 37.5 = 75 / 2

Orange Circle = 40.0880312567

Height h = 40.9807621135

X = Angle ACB = 45

Top 10.892

Circle Perimeter = 12

X = 6.7082039325

A / B = 1 / 2

X = ABD = 10

Radius R = 10.5 = 21 / 2

Red Area = 8.96 = 224 / 25

X = AG = 2.2360679775

Green Square Area = 12

Green Area = 2.48224604728

12 ≤ Blue Square Area ≤ 36