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

7.065 m ^ 2

8.935 m ^ 2

Step-by-step 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.

:

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!