Calculating x, radius of the circle.sina = 4/16a = asin(¼)°a is angle RTS.b = 90-ab = (90-asin(¼))°b = 75.5224878141°b is angle OTS.It implies x, radius of the circle is;cosb = (½*16)/xcos(75.5224878...
Calculating Area Green Circle.Let r be the radius of the circle.16² = 18²+14²-2*18*14cosaa = acos((18²+14²-16²)/(2*18*14))a = 58.4118644948°a is angle ADE.b = 180-ab = 180-58.4118644948b = 121.588135...
Calculating Alpha.Let it be x.Let 1 unit be the equal lengths of the ascribed right-angled triangle each.a² = 1²+1²a = √(2) units.a is AC.b = 45-15b = 30°b is angle CAD.c = 180-30-15c = 135°c is angl...
Calculating area inscribed circle and tan x.Notice.Length of arc of the quarter circle is 4π cm.(90/360)*2πr = 4π¼(2πr) = 4π2πr = 16πr = 8 cm.r is the radius of the ascribed quarter circle.Let y be t...
Calculating r, radius of the ascribed quarter circle.a² = 8a = 2√(2) cm.a is the side length of the inscribed square.b² = 2a²b² = 2*(2√(2))²b = √(16)b = 4 cm.b is the diagonal of the inscribed square...
Calculating angle x.Let 2 units be the side length of the ascribed square and also the radius of the inscribed red quarter circle.Notice.BM = CM, meaning point M horizontal shares the both vertical s...
Calculating the value of alpha(x) ÷ beta(y) (x/y).Calculating alpha (x).x = ⅕*180(5-2)x = ⅕*180*3x = 108°Where x is alpha and also the single interior angle of the regular pentagon.Let 2 units be the...
Calculating Green Area.a = 12+3a = 15 units.a is the side length of the two congruent squares.cosb = 12/15b = acos(4/5)°c = 90-bc = (90-acos(4/5))°tand = 15/3d = atan(5)°e = c+de = 90-acos(4/5)+atan(...
Calculating Square Area.Let x be the side length of the square.a = 7+6a = 13 units.6²+b² = x²b = √(x²-36) units.It implies;sinc = x/asinc = x/13 --- (1).sinc = b/xsinc = √(x²-36)/x --- (2).Equating (...
Calculating green inscribed circle circumference.Let y be the radius of the green inscribed circle.Notice.ABCD is a square.Let x be the side length of the square which is also the radius of the inscr...
