Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

17.106 Teaspoons of fertilizer

Step-by-step explanation:

Joni has a circular garden with a diameter of 16.5. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

Step 1

We calculate the area of the garden.

The garden is circular in shape.

Area of a circle = πr²

r = radius = Diameter/2

Diameter = 16.5 ft

r = 16.5/2

r = 8.25 ft

Area of the circle = π × 8.25²

Area of the circle (Garden) = 213.82464998 ft²

Approximately = 212.825ft²

Step 2

If she uses 2 teaspoons of fertilizer for every 25 square feet of garden how many teaspoons of fertilizer will Joni need for her entire garden?

25 ft² = 2 teaspoons of fertilizer

212.825ft² = x

Cross Multiply

25 ft² × x = 212.825ft² × 2

x = 213.825× 2/25 ft²

x = 17.106 Teaspoons of fertilizer

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