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You work in a nursery, and you are recommending mulch to a customer. to determine the number of bags of mulch the customer should buy, you need to determine the area of the customer’s garden. the customer has a circular garden 12 feet in diameter. what is the approximate area of the garden in square feet?

A. 18.84
B. 37.68
C. 75.36
D. 113.04
E. 452.16

1 Answer

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Final answer:

The area of a circular garden with a 12-foot diameter is approximately 113.04 square feet, which is found using the area formula for a circle (πr²) with the radius being half the diameter.ption D.

Step-by-step explanation:

To find the area of a circular garden with a diameter of 12 feet, we must use the formula for the area of a circle, which is Area = πr², where π (pi) is approximately 3.14, and r is the radius of the circle. The radius is half the diameter, so for this garden, the radius is 6 feet (12 feet divided by 2). Plugging the values into the formula gives us:

Area = π (6 feet)²
Area = 3.14 × (6 feet) × (6 feet)
Area = 3.14 × 36 square feet
Area = 113.04 square feet

Therefore, the approximate area of the customer's circular garden is 113.04 square feet, which corresponds to option D.

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