Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2. Circle B has a diameter of approximately 60 inches.
Which of these could be the area of Circle B? Explain your reasoning.

1. About 100 in2
2. About 300 in2
3. About 900 in2
4. About 2,700 in2

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (), measured in square inches, is directly proportional to the square of its diameter (), measured in inches. That is:

Where is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that , and , then:

Therefore, the correct answer is 4.

g

step-by-step explanation:

b) well because you get well