Find the area of a circle with a diameter of 56 millimeters. Round your answer to the nearest hundredth. area: about ???
mm2

9514 1404 393

  2463.01 mm²

  2461.76 mm² if you use 3.14 for π

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr²

where r is the radius, half the diameter.

For a diameter of 56 mm, the radius is 28 mm. Using that in the formula gives an area of ...

  A = π(28 mm)² = 784π mm²

For an appropriate value of π, the area is ...

  784π mm² = 2463.00864... mm² ≈ 2463.01 mm²

For 3.14 as the value of π, the area is ...

  784(3.14) mm² = 2461.76 mm²

Comment on pi

Quite often these problems expect you to use 3.14 for pi. The required answer has 6 significant digits, so the use of a 3-digit value for pi is not appropriate. Rather, the value used should be 3.141493 or even more accurate.

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