A designer draws two circles, each of area 3.14 square feet. The centers of the circles are 4 feet apart. Do the circles overlap?

Respuesta :

Answer:

No, the circles do not overlap

Explanation:

r = Radius of circle

A = Area = 3.14 square feet

Area of one circle

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

[tex]\Rightarrow 3.14=3.14r^2[/tex]

[tex]\Rightarrow r=1\ \text{ft}[/tex]

The radius of the each of the circles is 1 ft.

If the circles centers are 4 ft apart then the distance between the curves of the circle will be 2 ft apart.

So, the circles do not overlap each other. This is shown in the diagram.

Ver imagen boffeemadrid