Respuesta :

Answer:

5.4 ft²

Step-by-step explanation:

Since the circle is inscribed in the square then radius r = 2.5

Area of yellow = area of square - area of circle

A = (5 × 5) - (π × 2.5²)

  = 25 - 6.25π ≈ 5.4 ft²

               

Answer:

Area of the Yellow Region is 5.4 ft²

Step-by-step explanation:

Given:

Length of the side of the square = 5 ft

Diameter of the Circle = Length of the side = 5 ft

⇒ Radius of the circle, r = 5/2 = 2.5 ft

To find: Area of the Yellow region from the figure.

Area of the Yellow Region = Area of the Square - Area of the Circle

                                            = Side × Side - πr²

                                            = 5 × 5 - 3.14 × (2.5)²

                                            = 25 - 3.14 × 6.25

                                            = 25 - 19.625

                                            = 5.375

                                            ≈ 5.4 ft²   (nearest tenth)

Therefore, Area of the Yellow Region is 5.4 ft²

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