Answer:
Area of the shaded region = 1.72r²
Step-by-step explanation:
Radius of the circle = r
Length of the rectangle = 4r
Width of the rectangle = 2r
Area of the circle = πr²
Area of the rectangle = Length × Width
= 4r × 2r
= 8r²
Area of the shaded region = Area of the rectangle - 2 × Area of the circle
= 8r² - 2 × πr²
= 8r² - 2πr²
= r²(8 - 2π)
= r²(8 - 2 × 3.14)
= r²(8 - 6.28)
= 1.72r²
The answer is:
1017.88 square feet are blue.
<h2>Why?</h2>To calculate how many square feet are blue, we need to calculate the area of the bottom of the circular swimming pool.
We need to remember that we can calculate the area of any circle using the following formula:
Now, we know that the diameter of the bottom is equal to 36 feet, so, we can calculate the radius of the bottom using the following formula:
So,
Then, calculating the area we have:
Hence, we have that 1017.88 square feet are blue.
Have a nice day!