While the Babylonians had a crude formula for finding the area of a circle (see other problem), if they wanted a more accurate approximation, the table discovered in 1936 indicated that the $\displaystyle \frac{{1}}{{12}}$ in the formula $\displaystyle {A}=\frac{{1}}{{12}}{C}^{{2}}$ should be multiplied by the base-60 number 0;57,36. (Note this is a fractional number. See Ch 3. for a review of converting these numbers to base 10.)

A) Convert the number 0;57,36 to base 10, rounding to two decimal places.

Answer: 0;57,36 =

Now find the following areas, taking into account the new adjusting factor from part (A).

B) The area of a circle with circumference of 55.

Answer: Area =
Round your answer to two decimal places (hundredths).

C) The area of a circle with circumference of 14.

Answer: Area =
Round your answer to two decimal places (hundredths).

---

Note: Can you determine what value of $\displaystyle \pi$ the Babylonians were effectively using with this new adjusting factor? Try it! (This question is not officially part of this problem.)