Question

A cell tower is capable of providing a signal to cell phone users within a 30 mile radius. 1/4 of this area has devices to block the signal. within what area can cell users obtain a cell signal? use 3.14 for pi

Answer 1

Users can obtain a cell signal within an area of 2,119.5 square miles.

Step-by-step explanation:

Given that a cell tower is capable of providing a signal to cell phone users within a 30 mile radius, and 1/4 of this area has devices to block the signal, to determine within what area can cell users obtain a cell signal the following calculation must be performed:

Area of a circle: Pi x (radius x radius)

Area: 3.14 x (30 x 30)

Area: 3.14 x 900

Area: 2,826 square miles

1 - 1/4 = 3/4

2,826 x 3/4 = X

8.478 / 4 = X

2,119.5 = X

Thus, users can obtain a cell signal within an area of 2,119.5 square miles.