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To the nearest hundredth, what is the area of a circle with a radius of 3 units?A.28.27 square unitsB.18.85 square unitsC.9.42 square unitsD.29.61 square unitsSUBMITarrow_backPREVIOUS

Question

To the nearest hundredth, what is the area of a circle with a radius of 3 units?A.28.27 square unitsB.18.85 square unitsC.9.42 square unitsD.29.61 square unitsSUBMITarrow_backPREVIOUS

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Solution

The area of a circle is calculated using the formula A = πr², where r is the radius of the circle.

Step 1: Substitute the given radius, which is 3 units, into the formula.

A = π(3)²

Step 2: Square the radius.

A = π(9)

Step 3: Multiply the squared radius by π (approximately 3.14).

A = 3.14 * 9

Step 4: Calculate the product.

A = 28.26 square units

So, to the nearest hundredth, the area of a circle with a radius of 3 units is 28.26 square units. Therefore, the answer is A. 28.27 square units.

This problem has been solved

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