Understanding Circle Equations and Coverage

What is the radius of the cell phone tower's coverage area?

• 10 miles

• 12 miles

• 15 miles

• 20 miles

Where is the cell phone tower located on the coordinate plane?

• (3, -5)

• (-3, 5)

• (0, 0)

• (5, -3)

What is the standard form of the equation for the circle representing the coverage area?

• (x - 3)^2 + (y - 5)^2 = 144

• (x + 3)^2 + (y - 5)^2 = 144

• (x - 3)^2 + (y + 5)^2 = 144

• (x + 3)^2 + (y + 5)^2 = 144

What does the circle represent in the context of the problem?

• The height of the tower

• The coverage area of the tower

• The area of the tower

• The base of the tower

What is the purpose of using the distance formula in this problem?

• To find the radius of the circle

• To check if a point is within the coverage area

• To determine the center of the circle

• To calculate the circumference of the circle

What is the distance formula used in this context?

• d = √((x2 + x1)^2 + (y2 + y1)^2)

• d = (x2 + x1)^2 + (y2 + y1)^2

• d = (x2 - x1) + (y2 - y1)

• d = √((x2 - x1)^2 + (y2 - y1)^2)

What is the calculated distance from the center to the point (8, 0)?

• 12.08 miles

• 13 miles

• 11.5 miles

• 12 miles

Is the point (8, 0) within the coverage area of the tower?

• It is exactly on the boundary

• It is not possible to determine

• No, it is outside the area

• Yes, it is within the area

What is the significance of the calculated distance being 12.08 miles?

• It is equal to the radius

• It is less than the radius

• It is greater than the radius

• It is irrelevant to the problem

What conclusion can be drawn from the calculations?

• The point is within the coverage area

• The point is irrelevant

• The point is outside the coverage area

• The point is on the boundary