Calculating Area Blue.Notice.The side lengths of the regular octagon and regular hexagon is 4 units each.a = ⅙*180(6-2)a = 120°a is the single interior angle of the regular hexagon.b = ⅛*180(8-2)b =...
Calculating length red.Let it be x (length BP).a = ½(2)a = 1 unit.a is the radius of the inscribed circle.b² = 1²+1²b² = 2b = √(2) units.b is half the diagonal of the ascribed square.c = b-ac = (√(2-...
Calculating Alpha.Let it be x.Notice.BCDE and ABFG are both square.Let the two equal red lengths be √(2) units each.a²+a² = √(2)²2a² = 2a² = 1a = 1 unit.a is the side length of square BCDE.b = y+ab =...
Calculating Theta.Let it be x.Notice.ABCD is a square.Let 1 unit be CP = DQ.It implies;a = 180-33-48a = 99°(b/sin99) = (1/sin33)b = 1.81347328615 units.b is the side length of the square.c = b-1c = 1...
Calculating MC ÷ DM.Notice.140 cm² is the area of the the ascribed rectangle.Let x be the length.xy = 140y = 140/x cm.y is the width of the rectangle.½*a*x = 38ax = 76a = 76/x cm.a is the height of t...
Calculating length y.Notice.8 cm is the radius of the circle.It implies, length y is;18² = 12²+y²y² = 324-144y² = 180y = √(180)y = 6√(5) cm.
Calculating length x.a² = (18+8)²+(4√(14))²a² = 900a = 30 units.a is the diameter of a half circle.b = ½(a)b = ½(30)b = 15 units.b is the radius of the half circle.cosc = (18+8)/ac = acos(26/30)c = a...
Calculating r, radius of the circle.a = (r-4) units.b = a+rb = (r-4)+rb = 2r-4b = 2(r-2) units It implies;4*2(r-2) = 8*cc = (r-2) units.d = 8+cd = 8+(r-2)d = (6+r) units.Calculating r.11²+(6+r)²-2*11...
Calculating length x.a² = 7²+12²-2*7*12cos60a² = 49+144-84a = √(193-84)a = √(109)a = 10.4403065089 units.a is the radius of the circle.(10.4403065089/sin60) = (7/sinb)b = asin((7sin60)/10.4403065089)...
Calculating Area of the Red Rectangle.Let x and y be the length and width of the red rectangle respectively.tana = 4/3a = atan(4/3)°b = 90-ab = atan(3/4)°c = ½(180-a)c = ½(180-atan(4/3))°d = ½(180-b)...
