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Find the circumference of the circle if the area of the circle is 452.2 ft². Use 3.14 as the value of π. (Your answer will be numerical only and rounded to the nearest tenth.)

Question

Find the circumference of the circle if the area of the circle is 452.2 ft². Use 3.14 as the value of π. (Your answer will be numerical only and rounded to the nearest tenth.)

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Solution

To find the circumference of a circle given the area, you can follow these steps:

  1. First, you need to find the radius of the circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

  2. Given that the area (A) is 452.2 ft², you can set up the equation as follows: 452.2 = 3.14 * r².

  3. To solve for r, divide both sides of the equation by 3.14: r² = 452.2 / 3.14 = 144.

  4. Then, take the square root of both sides to solve for r: r = √144 = 12 ft.

  5. Now that you have the radius, you can find the circumference. The formula for the circumference of a circle is C = 2πr.

  6. Substitute the value of r into the formula: C = 2 * 3.14 * 12 = 75.36 ft.

So, the circumference of the circle is approximately 75.4 ft when rounded to the nearest tenth.

This problem has been solved

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