The calculated area of the outfield is 18133.5 square units
How to determine the area of the outfield?
From the question, we have the following parameters that can be used in our computation:
The high school baseball field
The area of the outfield is calculated as
Area = Area of baseball field - Inner Area
The shapes are quarter circles
So, each area can be calculated using
Area = 1/4πr²
This means that, we have
Area = 1/4πR² - 1/4πr²
Area = 1/4π(R² - r²)
Where
R = 130 + 70 = 200
r = 130
Substitute the known values into the equation
Area = 1/4π(200² - 130²)
Evaluate
Area = 5775π
Area = 5775 * 3.14
This gives
Area = 18133.5
Hence, the area of the outfield is 18133.5 square units