Calculating Area Red.
It is;
Area sector with radius 5 m and angle 60° - Area triangle with height 5 units and base 5sin60 m + 2(area triangle with height 2.5 m and base 2.5 m)
= (60π*5*5/...
Calculating the total shaded area with respect to d.
a = (180(12-2))/12
a = 150°
a is the single interior angle of the regular dodecagon.
b = 105-75
b = 30°
sin30 = c/d
c = ½(d) units....
Let the two equal lengths be 1 unit each.
a = 180-45
a = 135°
b = 180-135-15
b = 30°
(1/sin15) = (c/sin30)
c = 1.9318516526 units.
d² = 1.9318516526²+1²-2*1.9318516526cos45
d = 1.41...
Calculating Area Triangle ABC.
a = 7-5
a = 2 units.
b = 180-60-45
b = 75°
sin75 = 7/c
c = 7.2469332629 units.
c is the side length of the triangle ABC, equilateral triangle.
Area tr...
Let the radius of the ascribed semi circle be a.
b = ½(a) units.
c = b+a
c = ½(3a) units.
It implies;
(½(3a))² = (½a)²+6²
¼(9a²) = ¼(a²)+36
¼(8a²) = 36
8a² = 36*4
a² = 18
a = 3√(2...
a = 40+10
a = 50°
a is angle ACB.
b = 180-10-50
b = 120°
b is angle ADC.
(6/sin120) = (c/sin10)
c = 1.2030698654 units.
c is CD.
(6/sin120) = (d/sin50)
d = 5.3073115854 units.
d is...
Let the side length of the inscribed two blue squares be 1 unit.
a² = 2(1)²
a = √(2) units.
a is the radius of the green half circle.
b = a-1
b = (√(2)-1) units.
tanc = 1/(√(2)-1)
c =...
Let the ascribed square side be be 4 units.
Area ascribed square is;
4²
= 16 square units.
Calculating the inscribed red rectangle.
It implies;
a² = 2²+1²
a = √(5) units.
b² = 1²+0.5²
b = √(5/4...
Let 1 be R.
Calculating r.
a = (1-r) units.
tanb = 1/2
b = atan(½)
c = 180-2b
c = (180-2atan(½))°
d = 180-c
d = 2atan(½)°
It implies, calculate r.
sin(2atan(½)) = r/(1-r)
⅘ = r/(1-r)
5r = 4-4...
2a² = √(2)²
2a² = 2
a = 1 unit.
a is the radius of the half circle.
It implies;
x = a+a
x = 2a
x = 2*1
x = 2 units.
x is the diameter of the half circle.
