Let the side length of the bigger regular pentagon be 1 unit.
a = ⅕*180(5-2)
a = 108°
a is the single interior angle of the regular pentagon.
b² = 2-2cos108
b = 1.6180339887 units.
c = 108-½(180-...
Let the bigger white semi circle's radius be a.
b = ½(a) units.
b is the radius of the smaller white circle.
c = a+b
c = a+½(a)
c = ½(3a) units.
c is the radius of the bigger white and gr...
Let the radius of the ascribed quarter circle be a.
It implies;
a² = 5²+b²
b = √(a²-25) units.
6² = b²+c²
c² = 36-b²
c = √(36-√(a²-25)²)
c = √(36-(a²-25))
c = √(61-a²) units.
d = 5+c
d = (5+√(61...
Calculating the required angle, x.
a = (√(3)-1) units.
Observing similar plane shape (right-angled triangle) side length ratios.
√(3) - 1
b - (√(3)-1)
Calculating b. Cross Multiply.
3-√(3) = b...
a² = 12²+6²
a = 6√(5) cm.
a = AE.
b = atan(1/2)°
b = angle DAE.
c = 180-atan(2)
c = 116.56505117708°
c = angle AFC.
d = 180-116.56505117708-atan(1/2)
d = 36.86989764584°
(6/sin36.86989764584) =...
Calculating Grey Area.
a² = 5²+2²
a = √(29) m.
tanb = 5/2
b = atan(5/2)°
c = (90+b)°
c = (90+atan(5/2))°
d² =√(29)²+4²-2*4√(29)cos(90+atan(5/2))
d = 9.2195444573 m.
d is the diagonal of the rect...
Let a be the side length of the purple inscribed square.
b² = 4
b = 2 cm.
b is the side length of the green inscribed square.
c² = 1
c = 1 cm.
c is the side length of the yellow ascribed square....
Calculating angle x.
Let AB be 1 unit.
a = 9-20
a = 70°
a is angle ABH.
b = 180-10-70
b = 100°
(c/sin70) = (1/sin100)
c = 0.9541888941 units.
(d/sin10) = (1/sin100)
d = 0.1763269807 units.
si...
Let BC be 1 unit.
a = ½(180-45)
a = ½(135)
a = 67.5°
a is angle ABC = angle ACB.
(1/sin45) = (b/sin67.5)
b = 1.3065629649 units.
b is AB.
c = 180-45-67.5
c = 67.5°
c is angle BEC....
Let the side length of the regular pentagon be 1 unit.
a = ⅕(180(5-2))
a = 108°
a is the single interior angle of the regular pentagon.
b² = 2-2cos108
b = 1.6180339887 units.
c = ½(180-108)
c = 36...
