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Math 7 North Carolina
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POSTTEST: Geometry
A circular patio has a diameter of 4 yards. What is the area of the patio? Use 3.14 for .
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Ask by Norton Lawson. in the United States
Mar 19,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The area of the patio is .

Solution

  1. The formula for the area of a circle is given by
  2. The diameter of the patio is 4 yards, so the radius is
  3. Substitute into the area formula:
  4. Calculate the area:
Thus, the area of the patio is .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Beyond the Answer

To find the area of a circle, you can use the formula . Since the diameter of the circular patio is 4 yards, the radius ® is half of that, thus 2 yards. Plugging that into the formula gives us , which equals 12.56 square yards. So, the correct answer is !
When calculating the area, many students forget to find the radius first. Remember, the diameter is not the radius, so always divide it by 2 before using it in the formula. Regular practice helps ensure these small details don’t trip you up on tests!

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