Calculating Area Shaded.
Let r be the radius of the ascribed half circle.
Therefore;
½(r) is the radius of the inscribed circle and also the height of the shaded area.
a = r+½(r)
a = ½...
Calculating Area Blue Inscribed Circle.
Let it's radius be x.
a = ½(16)+x
a = (8+x) units.
b = (8-x) units.
c = (16-x) units.
It implies;
d²+x² = (16-x)²
d² = 256-32x+x²-x²
d =...
Sir Mike Ambrose is the author of the question.
Calculating Exactly Green Area.
Let x be the side length of each of the three inscribed congruent squares.
a² = 2x²
a = √(2)x
a is the diago...
Calculating FB.
a = 8+9
a = 17 units.
b = 9-8
b = 1 unit.
c² = 17²+1²
c = √(290) units.
c = 17.0293863659 units.
c is DE.
2d² = c²
2d² = √(290)²
d² = 145
d = √(145) units.
d =...
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...
