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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

User Tzam
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Answer:

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.

User Dinesh Arora
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