PLEASE HELP A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.

1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2

Option (4)

Step-by-step explanation:

From the picture attached,

ΔABC is a right triangle.

Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.

Length of diameter AC = 58 ft

Radius of the circle = ft

Area of the circular garden = πr² [r = radius of the circle]

                                             = π(29)²

                                             = 2642.08 ft²

Area of the right triangle =

                                          =

                                          = 675 ft²

Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle

= 2642.08 - 675

= 1967.08 ft²

≈ 1966 [Nearest value]

Option (4) will be the answer.

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step-by-step explanation:

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