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Find the circumference of the circle if the area of the circle is 333.1 ft². Use 3.14 as the value of π.

Question

Find the circumference of the circle if the area of the circle is 333.1 ft².

Use 3.14 as the value of π.

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Solution

To find the circumference of the circle, we first need to find the radius. We can do this by using the formula for the area of a circle, which is A = πr².

Step 1: Set up the equation to solve for r (radius). 333.1 = 3.14 * r²

Step 2: Divide both sides by 3.14 to isolate r². r² = 333.1 / 3.14 r² = 106.051

Step 3: Take the square root of both sides to solve for r. r = √106.051 r = 10.298

Now that we have the radius, we can find the circumference using the formula C = 2πr.

Step 4: Substitute the radius into the circumference formula. C = 2 * 3.14 * 10.298 C = 64.6 ft

So, the circumference of the circle is approximately 64.6 feet.

This problem has been solved

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