Answer:
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.
In order to solve this problem, we must solve an equation.
First, we need to define our unknown.
Let's call our number "n".
So, the sum of the number and 6 is the same as saying n+6
Then we need to multiply it by 2 (since it's twice the sum)
2(n+6)
This whole thing is equal to three times of the difference of the number and 8
n-8 is equal to the difference between the number and 8, then we need to multiply it by three.
3(n-8)
now, we set both sides equal and solve
The number is 36