Our familiar friend, Archimedes, stated in his book, Measurement of a Circle, that "the area of a circle is to the square of its diameter as 11 is to 14." This is essentially a proportional statement equivalent to the following:

$\displaystyle \frac{{A}}{{d}^{{2}}}=\frac{{11}}{{14}}$

Use Archimedes' formula to find the following:

A) The area of a circle with diameter of 50.

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

B) The area of a circle with diameter of 69.

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

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Note: Archimedes' proportion leads to value of $\displaystyle \pi$ of 22/7, which is still commonly used today. Can you prove this fact? Try it! (This question is not officially part of this problem.)