Question

2- En una habitación cuadrada de 4 m de lado se coloca una alfombra circular de 3 m de diámetro. ¿Cuál es la superficie cubierta por la alfombra? ¿Cuál es la superficie del cuarto no cubierto por la alfombra

Answer 1

7.065 m ^ 2

8.935 m ^ 2

Explanation:

The first thing is to calculate the surface of each one, that is, the area

For the room that is square, each side measures 4m, therefore:

As = 4 * 4 = 16 m ^ 2

The area of the carpet is that of a circle, that its area is the number pi times the radius squared, we know that the radius is half the diameter, therefore r = 3/2 = 1.5 m

replacing in the area formula

Ac = pi * r ^ 2 = 3.14 * 1.5 ^ 2

Ac = 7.065 m ^ 2

In other words, the area covered by the carpet is 7,065 m ^ 2 and the area not covered would be the subtraction between the area of the room minus the area of the carpet, that is:

16 m ^ 2 - 7.065 m ^ 2 = 8.935 m ^ 2

8.935 m ^ 2 would be the area that the carpet does not subside.