Calculating R, radius of the blue circle.a = (R-2) cm.b = ½(20)b = 10 cm.R, radius of the blue circle is;R² = (R-2)²+10²R² = R²-4R+4+1004R = 104R = 26 cm.
Calculating Area Red.Let x be the radius of the circle.a = (x-7) cm.Calculating x.x²+(x-7) = 13²x²+x²-14x+49 = 1692x²-14x-120 = 0x²-7x-60 = 0x²-12x+5x-60 = 0x(x-12)+5(x-12) = 0(x-12)(x+5) = 0It impli...
Sir Mike Ambrose is the author of the question.Calculating Area Blue ÷ Area Green to 2 decimal places.Let the side length of the regular pentagon be 1 unit.tan36 = a/0.5a = 0.363271264 unit.b² = 0.36...
Area shaded in pink (area A) is;Notice:The single side length of the square is;3√(2) units.Shaded yellow area height is;Height = 6/(3√(2))= √(2) units.Therefore area A is;Height = 3√(2)-√(2) = 2√(2)...
Calculating x.Notice.The ascribed irregular quadrilateral is cut out a regular triangle (Equilateral Triangle).Therefore, resolving with the above fact/analysis.a = (x+6) units.a is the side length o...
Calculating the required red length.Let a be the radius of the half circle.b = (a-1) units.c²+1² = b²c² = a²-2a+1-1c = √(a²-2a) units.d = a+c d = (a+√(a²-2a)) units.d is the required length.e = (a+1...
Calculating Length x.Notice.4 units is the radius of the inscribed circle.8 units is the radius of the inscribed quarter circle.a² = 2(4)²a = 4√(2) units.a is half the diagonal of the ascribed square...
Calculating Length PQ.x+a = y+2a4+a = 3+2aa = 1 unit.b = y+ab = 4+aAnd a = 1 unit.b = 5 units.Orb = y+2ab = 3+2aAnd a = 1 unit.b = 3+2(1)b = 5 units.Orb² = 4²+3²b = √(25)b = 5 units.c = x-yc = 4-3c =...
Calculating x²/y².Let the inscribed blue square side length be 2 units.Therefore;y = 2 units.y² = 4 square units, the area of the blue inscribed square.Calculating x², the area of the yellow inscribe...
Calculating x/y.Let 10 units be the side length of the ascribed square.x+y = 10 y = (10-x) --- (1).Let a be each of the 2 equal angles.tana = x/(10-x) --- (2).tan(2a) = 10/(10-x)2tana/(1-tan²a) = 10...
