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)...
Calculating Area S.Let x be the radius of the quarter circle.a²+24² = (2x)²a² = 4x²-576a = √(4x²-576) units.b = a-7b = (√(4x²-576)-7) units.Calculating x.(√(4x²-576)-7) ~ 2xx ~ √(4x²-576)Cross Multip...
Calculating R, radius of the red half circle.a = ½(5+24+22)a = ½(51)a = 25.5 units.a is the radius of the big half circle.b = ½(24)b = 12 units.c²+12² = R²c = √(R²-144) units.d = 25.5-5-12d = 8.5 uni...
Calculating r, radius of the inscribed circle.Notice.125π cm² is the total area of the five congruent green circles.Calculating their radius, let it be x.5*πx² = 125πx² = 25x = √(25)x = 5 cm.Again, x...
Calculating length h.Let x be the radius of the half circle.x² = 4²+3²x = √(25)x = 5 cm.Again, x is the radius of the half circle.4² = y²+a²a² = 16-y²a = √(16-y²) cm.a is half length h.b = (5-y) cm....
Calculating Area Blue.Let x be the side length of the inscribed regular pentagon.a = ⅕*180(5-2)a = 108°a is the single interior angle of the inscribed regular pentagon.b² = 2x²-2x²cos108b = 1.6180339...
Calculating Area Green.Notice.The composite plane shape is drawn to scale.a = 6 cm.Let b = x cm.b is the width of the inscribed rectangle.c = 2x cm.c is the length of the inscribed rectangle.d² = x²+...
