Question

The circular area covered by a cell phone tower can be represented by the expression 225π miles2. What is the approximate length of the diameter of this circular area

Answer 1

The length of the diameter of this circular area is of 30 miles.

Explanation:

The area of a circular region can be represented by the following equation:

`A = \pi r^(2)`

In which r is the radius. The diameter is twice the radius.

In this question:

`A = 225\pi`

So

`A = \pi r^(2)`

`225\pi = \pi r^(2)`

`r^(2) = 225`

`r = \pm √(225)`

The radius is a positive measure, so

`r = 15`

Area in squared miles, so the radius in miles.

What is the approximate length of the diameter of this circular area

D = 2r = 2*15 = 30 miles

The length of the diameter of this circular area is of 30 miles.