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SVETLANKA909090 [29]
3 years ago
12

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 g

rass. 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.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

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

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.

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