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

Answer:

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

Step-by-step 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

$A = \pi r^{2}$

$225\pi = \pi r^{2}$

$r^{2} = 225$

$r = \pm \sqrt{225}$

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.