tan15 = a/4
a = 1.07179676972 cm.
Where a is AD.
b² = 1.07179676972²+4²
b = 4.14110472164 cm.
Where b is DF.
c = 4-1.07179676972
c = 2.92820323028 cm.
Where c is CD.
sin60 = d/2.92820323028
d =...
a = 180-2*8
a = 164°
Where a is angle
AOT, O is the centre of the circle.
Angle ABT is;
½(360-164)
= ½(196)
= 98°
Angle BAT is;
½(180-98)
= 41°
Therefore;
Angle ACT is;
180-41-(180-98)
= 180-4...
a = asin(1/6)
b = 2a
b = 2(asin(1/6))
Where b is angle BAC.
sin(2(asin(1/6))) = c/6
c = ⅓(√(35)) units.
c = 1.97202659437 units.
Where c is BE.
d = 90-2asin(1/6)
d = 70.81186354628°
Where d is an...
Let the side length of the regular heptagon be 1 unit.
a = ⅐(180*5)
a = ⅐(900)°
b = 0.5(360-2(900/7))
b = ⅐(360)°
c = 2cos(360/7)+1
c = 2.24697960372 units.
d² = 2-2cos(90/7)
d = 1....
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a² = 11*11+10*10-2*11*10cos50
a = 8.92113926968 cm.
(8.92113926968/sin50) = (10/sinb)
b = 59.16920318624°
c = 180-50-59.16920318624
c = 70.83079681376°
d = 0.5a
d = 4.46056963484 cm.
e² = 4.460...
Let the side length of the regular pentagon be 1 unit.
tan36 = a/0.5
a = 0.363271264 unit.
b² = 0.363271264²+0.5²
b = 0.61803398875 unit.
tan72 = c/0.5
c = 1.53884176859 units.
Area Green is;
0...
a = asin(1/6)
b = 2a
b = 2asin(1/6)
Where b is angle BAC
cos(2asin(1/6)) = c/6
c = ⅓(17) units.
Where c is AD.
d = 6-c
d = 6-⅓(17)
d = ⅓ units
Where d is CD.
sin(2asin(1/6)) = e/6
e = 1.97202659...
Let the radius of the ascribed circle be 2 units.
sin10 = a/2
a = 0.34729635533 units.
a is O1D.
cos10 = b/2
b = 1.96961550602 units.
b is CD.
Let the small inscribed circle radius be r.
Calcula...
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