Calculating the required angle.
Notice.
The ascribed plane shape is a square, let it's side length be x.
Let the longest side length of the inscribed red lengths triangle be 1 unit.
a =...
Notice.
The ascribed quadrilateral is a square.
Calculating x, the side length of the square.
a²+x² = 8²
a = √(64-x²) units.
b²+x² = 10²
b = √(100-x²) units.
It implies;.
c = (x-√(...
Calculating Inscribed Blue Rectangle Area.
a = 15+5
a = 20 units.
a is the radius of the circle.
Let b be the length of the blue inscribed rectangle.
b² = 2(20)²-2(20)²cos(90-x)
b² = 800...
Kindly move the question right/left one time to review the framework/analysis.
Thank you nicely.
Calculating Area Inscribed Blue Rectangle.
a = 15+5
a = 20 units.
a is the radius of the circl...
Calculating Area Green.
a = ⅙*180(6-2)-90
a = 120-90
a = 30°
b = ½(a)
b = 15°
c = 180-15-120
c = 45°
It implies;
(d/sin45) = (1/sin15)
d = (1+√(3)) units.
d = 2.73205080757 uni...
Calculating x, side length of the largest ascribed square.
a =14+9
a = 23 units.
b² = 23²+7²
b = √(578)
b = 17√(2) units.
b is the diagonal of the largest square.
It implies, x is;...
Calculating Shaded Blue Area.
Notice.
½(10) = 5 cm is the radius of the inscribed circle.
a² = 2(10)²
a = 10√(2) cm.
a is the diagonal of the ascribed square.
b = ½(a)
b = 5√(2) cm....
Calculating fraction of yellow shaded area.
Let the single side length of the square be 2 units.
Area yellow (shaded area) is;
½(4) square units.
= 2 square units.
Area square is;
2...
Kindly move the question right/left one time to review the framework/analysis of the question.
Thank you nicely.
Calculating length DG.
Let x be the side length of the square.
Let h be th...
Calculating Shaded Area.
Let the radius of the semi circle be r.
Calculating r.
2+√(5/2)r ~ ½(3r)
2r ~ √(5/2)r
Cross multiply.
3r² = 2√(5/2)r + (5/2)r²
(½)r² = 2√(...
