For the first pool, they give us the radius: 16 ft. We can use this to find the area of pool 1 using the following formula: Area of a circle = [tex] \pi r^{2} [/tex]
Area = [tex] \pi(16^{2})[/tex]
Area = 256π feet squared
They also tell us that the radius of pool 1 is equal to the diameter of pool 2. The diameter is 2 x radius. Using this info, we can assume the radius of pool 2 is equal to 8. Using the radius, we can plug it into the equation we used above to find the area of pool 2.
Area = [tex] \pi 8^{2} [/tex]
Area = 64π feet squared
Finally, the problem asks us to find the difference of pool 2's area from the area of pool 1.
256π - 64π = 192π
Your final answer is (B): 192π square feet.
