Let the two equal lengths be 1 unit.
a = 100-60-20
a = 100°
(b/sin20) = (1/sin100)
b = 0.3472963553 units.
c = 360-120+100
c = 360+220
c = 140°
It implies;
d² = 1+0.3472963553²-2*0.3472963553co...
Calculating Orange Area.
Notice, radius of the three congruent circles is 2 units each.
Orange Area is;
Area semi circle with radius 2 units + Area equilateral triangle with side 2 units + 2(area...
Calculating angle x.
Let the base of the quadrilateral be 1 unit.
a = 180-64+86
a = 30°
(1/sin86) = (b/sin64)
b = 0.9009888098 units.
(c/sin30) = (1/sin86)
c = 0.501220949 units.
d = 180-8-84
d...
Calculating angle x.
Let the two equal lengths of the ascribed square be 1 unit.
tan10 = 1/a
a = 5.6712818196 units.
a is the square side considering the assume 1 unit.
b = a-1-1
b = 5.6712818196...
Calculating r, radius of the two congruent circles.
It implies;
(2r)² = (2+r)²+1-2(2+r)cos60
4r² = 4+4r+r²+1-2-r
3r² = 3+3r
r²-r-1 = 0
Resolving the above quadratic equation via completing the sq...
Calculating area red.
a = 4+6 = 10 units.
a is the side length of the two congruent regular composite plane shape.
b = ½(10)
b = 5 units.
c = 5-1
c = 4 units.
tans = 4/6
d = atan(2/3)°
e² = 6²+...
Let the centre of the semi circle be O.
Let d be 2a.
It implies, a is the radius of the semi circle.
a = OA = OB
(2a)² = b²+7²
b² = 4a²-49
b = √(4a²-49) units.
c = ½(b)
c = ½√(4a²-49) units.
e...
Let the radius of the bigger green quarter circle be 1 unit.
Let the radius of the smaller green quarter circle be a.
Let the radius of the circle be b.
It implies;
b² = 1²+a²-2acos45
b² = 1+a²-...
Notice!
The congruent triangles are equilateral.
Calculating the radius, a of the two bigger congruent circles.
tan60 = a/b
√(3) = a/b
b = (a/√(3)) units.
sin60 = 2a/c
√(3)/2 = 2a/c
√(3)c = 4a
c...
Notice!
Area Yellow is an equilateral triangle with side 2 units.
Therefore, area yellow is;
½*2*2sin60
= √(3) square units.
Calculating red area.
It is;
2(area quarter circle with radius 2 uni...
