The area of a circle is 96 square inches. what is the area of a circle whose diameter is 1.5 times the diameter of the circle?

To find the answer to your question, we need to know the formula for a circle. The formula is,
Area= Pi(3.14) x Radius^2.

Let's work in reverse and plug the numbers into the formula.

96 = Pi x r^2. Divide 96 by Pi. 5.53. Since a radius is half of diameter, we multiply 5.53 by itself (5.53 x 5.53= 30.58). Now, it says 1.5 x diameter of circle #1. So, 1.5 x 30.58 = 45.87. 
We found the diameter of the circle #2. Back to the same formula... Area = Pi x r^2. To convert diameter to radius we find half of it. Half of 45.87 is 22.94. We are not done yet. (phew!) Now we have to find the area. 22.94^2 x Pi = 1653.24. 
I believe I did it right but I am a bit rusty. I hope I helped!