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

Answer:

  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.

PLZ ANSWER ASAP WILL MAKE BRAINLIEST FOR BEST ANSWER AND EXPLAIN YOUR ANSWER
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