Respuesta :

D. 7.1
A circle has an area of 40 square meters. Which answer is closest to the measure of its diameter?

Answer:

Option D. [tex]7.1\ m[/tex]

Step-by-step explanation:

we know that

The area of a circle is equal to

[tex]A=\pi r^{2}[/tex]

In this problem we have

[tex]A=40\ m^{2}[/tex]

substitute and solve for r

[tex]40=\pi r^{2}[/tex]

[tex]r^{2}=40/( \pi)[/tex]

[tex]r=3.57\ m[/tex]

Multiply the radius by [tex]2[/tex] to obtain the diameter

so

[tex]3.57*2=7.14\ m[/tex]