Calculating Radius of the inscribed blue circle.Let R be radius of the quarter circle.Let r be radius of the inscribed circle.R is;√(3²+4²)R=√(25)R= 5 units.Again, R is the radius of the ascribed qua...
Calculating Area yellow circle : Area red semi circle.Let the radius of the bigger circle be 2 unit.Therefore the radius of the smaller circle will be;½(2)=1 unit.Let the radius of the semi circle be...
Calculating Shaded/Green Area.Shaded/green area is;Area semi circle of radius 9 units - 2(area sector of radius 9 units and angle 60°) + area equilateral triangle of single side length 9 units - area...
Calculating Area Blue.Area Blue is;Area triangle with height 4 cm and base (4sin150) cm= ½*4*(4sin150)= 2(4sin150)= 8sin150= ½(8)= 4 cm²
Sir Mike Ambrose is the author of the question.Calculating Area R Exactly.Area R Exactly is;Area semi circle of radius 2 unit - Area right-angled triangle of height 2√(2+√(2)) unit and width 2√(2-√(2...
Calculating Area Blue.Blue area is;Area square of single side length 4cm - 5(area circle of radius 1cm) + area square of single side 2cm.= 16 - 5π + 4= 20 - 5π= 5(4 - π) cm²
Calculating Area Blue.Notice.The ascribed plane shape is a regular octagon.Calculating it's single interior angle.na = 180(n-2)8a = 180(8-2)a = (180*6)/8a = 135°a is the single interior angle of the...
Calculating Inscribed Area Blue Square.Let x be the side length of the blue square.tan60 = x/a√(3) = x/aa = ⅓(√(3)x) units b = a+xb = ⅓(√(3)x)+xb = ⅓(√(3)x+3x) units.Calculating x².10² = x²+(⅓(√(3)x+...
Calculating x (radius of the small inscribed circle)28² + x² = (56-x)²784 + x² = 3136 - 112x + x²112x = 2351x = 21 units.
Calculating Area Blue.Area Blue is;Area semi circle with radius √(2) units - Area quarter circle with radius 2 units + Area triangle with height and base 2 units respectively.= ½(√(2)²)π - ¼(2²)π + ½...
