Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = ![\dfrac{25}{2}=12.5\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7B25%7D%7B2%7D%3D12.5%5C%20ft)
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = ![(3.14)(12.5)^2=490.625\ \text{ft}^2](https://tex.z-dn.net/?f=%283.14%29%2812.5%29%5E2%3D490.625%5C%20%5Ctext%7Bft%7D%5E2)
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.