What is the area of a tank that has a diameter of 148 feet?

Prepare for the Indiana Water Operator Certification Test. Utilize flashcards and multiple-choice questions with hints and explanations. Achieve success with confidence!

To calculate the area of a tank with a given diameter, you would use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius of the circle.

In this case, the diameter of the tank is 148 feet. To find the radius, you divide the diameter by 2:

r = diameter / 2 = 148 feet / 2 = 74 feet.

Next, you need to substitute the radius into the area formula:

A = π(74 feet)².

Calculating the radius squared gives you:

74² = 5476 square feet.

Now multiply by π (approximately 3.14):

A ≈ 3.14 x 5476 ≈ 17,200 square feet.

This calculation confirms that the area of the tank is approximately 17,200 square feet, making this the correct answer. Understanding how to apply the formula for the area of a circle and correctly maneuver through the calculations is essential for water operators when assessing tank dimensions, which is crucial for effective water management.

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