Calculating angle x.
Let the radius of the inscribed half circle be 1 unit.
Therefore, 2 units is the radius of the ascribed quarter circle.
a = (2-y) units.
b² = 1²+y²
b = √(1+y²) unit...
The Great Graph Gala.
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Calculating a.
tan60 = a/b
√(3) = a/b
b = a/√(3)
b = ⅓(√(3)a) units.
tan60 = 2a/c
√(3) = 2a/c
c = 2a/√(3)
c = ⅓(2√(3)a) units.
It implies;
b+a+2a+c = 1
⅓(√(3)a)+a+2a+⅓(2√(3)a)...
Calculating x, the required angle.
a = ⅛*180(8-2)
a = ⅛*180*6
a = ½*45*6
a = 135°
a is the single interior angle of the regular octagon.
b = ⅕*180(5-2)
b = ⅕*180*3
b = 36*3
b = 108°
b...
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Vegetarian mystical leader and number-obsessive, he owes his standing as the most famous name in maths due to a theorem about right-angled triangles, although it now a...
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Calculating the red shaded area.
Notice.
10 cm is the radius of each of the four equal inscribed circles.
tana = 10/(4*10)
a = atan(¼)°
a = 14.0362434679°
b = 3*10
b = 30 cm.
(10/...
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