Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?

Radii, Circumferences, and Areas

Circumference (feet). Area (square feet). On a coordinate plane, the x-axis is labeled Radius (feet). A line representing the circumference goes through (0, 0), (1, 3.14), and (2, 12.56). A curve line representing the area goes through (0, 0), (1, 3.14), and (2, 12.56).

3.14 feet squared to 12.56 feet squared

1 foot squared to 2 feet squared

1 foot squared to 4 feet squared

3.14 feet squared to 6.28 feet squared

Question

Mathematics

Quinn Gordon

13 April, 08:21

Kiley is replacing the top of a circular table with glass. The circumference of the table is between 6.28 feet and 12.56 feet. According to the graph, what is the range of areas of round glass she might need?

Radii, Circumferences, and Areas

Circumference (feet). Area (square feet). On a coordinate plane, the x-axis is labeled Radius (feet). A line representing the circumference goes through (0, 0), (1, 3.14), and (2, 12.56). A curve line representing the area goes through (0, 0), (1, 3.14), and (2, 12.56).

3.14 feet squared to 12.56 feet squared

1 foot squared to 2 feet squared

1 foot squared to 4 feet squared

3.14 feet squared to 6.28 feet squared

+3

Answers (1)

Know the Answer?

Shaniya Leon · Answer 1

The range of areas is 3.14ft^2 - 12.56ft^2

Step-by-step explanation:

I don't know which graph the question is referencing but I found the range of areas this way

first I found out what the range of radius would be

since the circumference is pi*diameter

So to find the diameter I did the individual areas divided by pi

6.28/3.14=2

12.56/3.14=4

So the range of diameters is 2 to 4 this means the range of radius's are 1 to 2

Since area of a circle is r^2*pi

This means the range of areas is

1^2*3.14=3.14

2^2*3.14=12.56

So the range of areas is 3.14ft^2 to 12.56ft^2