Solve the ques in the attachment
Answers
As it is a Square the Diagonal Of the Square Cuts the Shaded Portion into Two Equal Halves.
We can Notice that there is Quarter of Circle of Radius 8 cm is inscribed in it.
The Idea is to Find the Area of this Quarter of Circle and Subtract the Area of the Right Angled Triangle (ABD) from this Quarter of Circle, so that we end up with the Area of the Half of the Shaded Portion. Because as the Hypotenuse of the Right angled Triangle (i.e Diagonal of the Square) Divides the Shaded portion into Two equal Halves, Then, If we Multiply the Exact half of the Area of the shaded portion with '2', We get the Area of the Total shaded Portion.
Area of the Quarter of the Circle = π/4 × r²
⇒ Area of the Quarter of the Circle = 3.14/4 × 64 = 50.24 cm²
Area of Right Angled Triangle = 1/2 × base × height
⇒ Area of Right Angled Triangle = 1/2 × 8² = 32 cm²
Area of Exact Half of the Shaded Portion = Area of Quarter Circle - Area of the Right angle
⇒ Area of Half of the Shaded Portion = 50.24 - 32 = 18.24 cm²
Area of Total Shaded Portion = 2 × Area of the Half of the Shaded Portion
⇒ Area of the Total Shaded Portion = 2 × 18.24 cm² = 36.48 cm²
