Question

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?

Answer 1

No, the circles do not overlap

Step-by-step explanation:

r = Radius of circle

A = Area = 3.14 square feet

Area of one circle

`A=\pi r^2`

`\Rightarrow 3.14=3.14r^2`

`\Rightarrow r=1\ \text{ft}`

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.