Question

You work for a telecommunications company and need to analyze the outcome of a proposed new cell tower project. cell phone radio towers broadcast a cell phone signal in a circular pattern.

The company currently has cell towers in the locations described in the table.

Tower Location coverage radius (ml)
A Adele Acres 4
B Brown Lake - located 5miles east and 4 miles north of adele acres 3
C cady city, located 4 miles eand and 4 miles south of adele acres 5


Write the standard form of the equation representing the coverage area for each tower. Use Adele Acres as the origin

Answer 1

To represent the coverage area for each tower in standard form, use the formula of a circle with the tower's location as the center.

Step-by-step explanation:

To write the standard form of the equation representing the coverage area for each tower, we need to use the formula of a circle.

The standard form of the equation of a circle with center (h, k) and radius r is: (x - h)^2 + (y - k)^2 = r^2

Using Adele Acres as the origin, the equation for Tower A with a coverage radius of 4 miles is: x^2 + y^2 = 4^2

For Tower B, located 5 miles east and 4 miles north of Adele Acres, the equation with a coverage radius of 3 miles is: (x - 5)^2 + (y - 4)^2 = 3^2

And for Tower C, located 4 miles east and 4 miles south of Adele Acres, the equation with a coverage radius of 5 miles is: (x - 4)^2 + (y + 4)^2 = 5^2