Calculating The Required Shaded Area.
a = ¼(2R)
a = ¼(6)
a = 1.5 units.
b² = 2(3)²
b = 3√(2) units.
c² = 1.5²+3²-2*3*1.5cos150
c = ½(3√(7)) units.
c = 4.36396936676 units.
d² = (3√...
Calculating Shaded Area.
a² = 11²+8²
a = √(185) units.
b²+4² = a²
b² = 185-16
b = √(169)
b = 13 units.
b is the length of the equal rectangles.
Shaded Area is;
(13*8)-½(11*8)-2(½(13*...
Calculating Shaded Blue Area.
a²+(0.5*6)² = 5²
a² = 25-9
a = √(16)
a = 4 cm.
It is;
Area isosceles right-angled triangle with equal sides 6 cm+Area trapezoid with parallel lengths 3 cm...
Calculating FB.
Let a be OC = OE = CE.
b = (a+16) units.
b is the radius of the ascribed half circle (OD = OA).
c = b-5
c = (a+16)-5
c = (a+11) units.
c is OB.
d = c+a
d = (a+11)+a...
Sir Mike Ambrose is the author of the question.
Calculating Area yellow ÷ Area BDE.
Area BDE is;
Area triangle with side 2 units and 3 units, and angle 120°
= ¼(6√(3))
= ½(3√(3)) squar...
Calculating inscribed regular hexagon shaded area ÷ Ascribed regular hexagon area.
Let the side length of the inscribed shaded regular hexagon be 1 unit.
a² = 2-2cos120
a = √(2) units.
Shade...
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...
