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Calculating the required green area.Notice.OP = AP = r.R = 2r.a² = (2r)²+r²a² = 4r²+r²a = √(5r²)a = √(5)r units.a is CP = OQ.r ~ ab ~ 2rIt implies;r ~ √(5)rb ~ 2rCross Multiply.2r² = √(5)rbb = 2r/√(5...
Calculating r.a² = 2(2r)²a = √(2(2r)²)a = 2√(2)r unitsa is the diagonal of the inscribed square.b² = 2r²b = √(2)r units.c = a+b+rc = 2√(2)r+√(2)r+rc = (1+3√(2))r units.c is the diagonal of the ascrib...
Calculating area triangle BAC.a² = √(7)²+3²a = √(16)a = 4 units.b = a+√(7)b = (4+√(7)) units.b is AB.√(7) ~ 34 ~ cCross Multiply.√(7)c = 12c = ⅐(12√(7)) units.d = 3+cd = 3+⅐(12√(7))d = ⅐(21+12√(7)) u...
Calculating x, length DP.sina = 8/10a = asin(4/5)°a is angle BCP.b = 360-90-90-ab = (180-asin(4/5))°b = 126.869897646°b is angle ABC.c = ½(b)c = ½(126.869897646)c = 63.4349488229°c is theta, angle AB...
Calculating Area Yellow.a = 2+20a = 22 units.b²+x² = 20²b = √(400-x²) units.cosy = b/20cosy = √(400-x²)/20 --- (1).10² = 22²+√(400-x²)²-2*22√(400-x²) cosy100 = 484+400-x²-44√(400-x²)cosy44√(400-x²)co...
