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31 January, 17:18

A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per square mile. L

How many people are within receiving distance of the broadcast signal?

Use 3.14 for pi.

A. 1200

B. 18,840

C. 1,130,400

D. 4,521,600

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Answers (1)
  1. 31 January, 19:44
    0
    Determine the area of the circular region that can be reached by the radio station signal using the equation.

    A = πD²/4

    A is area and D is diameter. Using 3.14 as pi value.

    A = (3.14) (120 mi) ² / 4

    A = 11304 mi²

    Knowing that in each of the squared miles, 100 people live.

    total population receiving the signal = 11304 mi² x (100 people / 1 mi²)

    = 1,130,400

    Thus, the answer is letter C.
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