Calculator 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. How many people are within receiving distance of the broadcast signal? Use 3.14 for pi. Select from the drop-down menu to correctly complete the statement. There are about \( \square \) people within broadcast distance of the radio station. Choose... 1200 18,840 1 2 3 4 5 Finish 1,130,400 4,521,600

To find the number of people within receiving distance of the broadcast signal, we need to follow these steps: 1. **Calculate the area covered by the broadcast signal.** - The area \( A \) of a circle is given by the formula: \[ A = \pi r^2 \] - The radius \( r \) is half of the diameter. Given a diameter of 120 miles, the radius is: \[ r = \frac{120}{2} = 60 \text{ miles} \] 2. **Substitute the radius into the area formula.** - Using \( \pi = 3.14 \): \[ A = 3.14 \times (60)^2 \] 3. **Calculate \( (60)^2 \):** \[ (60)^2 = 3600 \] 4. **Now calculate the area:** \[ A = 3.14 \times 3600 \] 5. **Calculate the total area:** \[ A = 11304 \text{ square miles} \] 6. **Calculate the total population within this area.** - Given the population density is 100 people per square mile: \[ \text{Total Population} = A \times \text{Population Density} = 11304 \times 100 \] 7. **Calculate the total population:** \[ \text{Total Population} = 1130400 \] Thus, there are about \( 1,130,400 \) people within broadcast distance of the radio station. The correct completion of the statement is: "There are about \( 1,130,400 \) people within broadcast distance of the radio station."