Calculating R.b = 60°b is the single interior angle of the ascribed regular triangle (equilateral triangle).c = ½(b)c = 30°tan30 = R/d1/√(3) = R/dd = √(3)R cm.e = R+Re = 2R cm.f = 2d+ef = 2√(3)R+2Rf...
Calculating the indicated angle.Let it be x.Let 1 unit be the radius of the congruent circles each.a = ⅕*180(5-2)a = ⅕*180*3a = 108°a is the single interior angle of the inscribed regular pentagon.1²...
Calculating Area Green (equilateral triangle).Let x be the side length of area green.a = 90-60a = 30°a is angle OXY.cos30 = b/x½√(3) = b/xb = ½√(3)x units.b is OX.Calculating x.x²+(½√(3)x)² = √(7)²x²...
Calculating C, circumference of the circle in terms of π.Let r be the radius of the circle.a = (r-6) units.b = (r+6) units.Calculating r.(r-6)(r+6) = 3*7r²-36 = 21r² = 57r = √(57) units.Therefore, ci...
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...
