Sir Mike Ambrose is the author of the question.
Aqua total in cm² is;
tan30 = a/10
a = ⅓(10√(3)) cm.
sin60 = 2/b
b = ⅓(4√(3)) cm.
c = a+b
c = ⅓(14√(3)) cm.
tan30 = d/2
d = ⅓(2√(3)) cm.
e = c-d...
Sir Mike Ambrose is the author of the question.
Let r be the radius of the circle.
Calculating r.
5.5²+(√(r²-2.5²)-4)² = r²
r = ½(5√(5)) units.
a = √((5√(5)/2)²-(5/2)²)-4)²
a = 1 unit.
b = 180-...
Let AC be 2 units.
It implies;
OA = AB = BC = DE = EF = 1 unit.
Blue length = 1 unit.
Calculating red length.
a² = 5-4cos72
a = 1.94008557092 units.
a is OD.
(1.94008557092/sin72) = (1/sinb)
b...
Let the blue diagonal be 1 unit.
(1/sin110) = (a/sin30)
a = 0.53208888624 units.
(1/sin70) = (b/sin40)
b = 0.68404028665 units.
c² = 0.68404028665²+0.53208888624²-2*0.68404028665*0.532088...
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Calculating r.
a = √(2)r units.
b = 2√(2)r units.
c = 3r units.
d = √(2) units.
It implies;
a+b+c = d
√(2)r+2√(2)r+3r = √(2)
r(3+3√(3)) = √(2)
r = √(2)/(3+3√(2))
r = (3√(2)-6)/(9-18)
r = (3√(2)-6...
Let the radius of the green inscribed quarter circle be x.
Let the radius of the blue inscribed quarter circle be y.
a² =2x²
a = √(2)x units.
b = (x+1) units.
c = (y+1) units.
x²+(x+1)² = (x+...
Sir Mike Ambrose is the author of the question.
12²=10²+10²-2*10*10cosa
cosa = (200-144)/200
a = acos(56/200)°
a = acos(7/25)°
a = 73.73979529169°
b = c = ½(180-73.73979529169)
b = c = 53.130102354...
Sir Mike Ambrose is the author of the question.
Let the radius of the ascribed quarter circle be 2 units.
Area Quadrant is;
¼(4)π
= π square units.
The radius, r of the congruent inscribed semi-c...
Sir Mike Ambrose is the author of the question.
a = ½√(2²+2²)
a = √(2) units.
b² = (√(2))²+(√(2))²
b = 2 units.
c² = 3²+1²
c = √(10) units.
d = (135+atan(⅓))°
e² = 10+2-2√(20)cos(135+atan(⅓))
e...
