Question

A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.

Answer 1

Answer: The area of the regions covered by grass is approximately 313.375 sq ft.

Explanation:

Given: A company is building a new park in the shape of a circle with a 25 ft diameter.

Then radius =
`(25)/(2)=12.5\ ft`

Required area = Area of circle - Area of rectangle + Area of triangle

Formula: Area of circle =
`\pi r^2`

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`

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.