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Maximize the Sum of Two Areas

SVCALC-YKUM3E

A piece of wire 55 cm is cut. One piece is bent into a square, the other into a circle.

What is the maximum combined area possible?

A

$172.3516$ cm$^2$

B

$189.0625$ cm$^2$

C

$240.7219$ cm$^2$

D

$260.8124$ cm$^2$