Let $l > 0$ be a real number,$C$ denote a circle with circumference $l$,and $T$ denote a triangle with perimeter $l$. Then:

  • A
    given any positive real number $\alpha$,we can choose $C$ and $T$ as above such that the ratio $\frac{\operatorname{Area}(C)}{\operatorname{Area}(T)}$ is greater than $\alpha$
  • B
    given any positive real number $\alpha$,we can choose $C$ and $T$ as above such that the ratio $\frac{\operatorname{Area}(C)}{\operatorname{Area}(T)}$ is less than $\alpha$
  • C
    for any $C$ and $T$ as above,the ratio $\frac{\operatorname{Area}(C)}{\operatorname{Area}(T)}$ is independent of $C$ and $T$
  • D
    there exist real numbers $a$ and $b$ such that for any circle $C$ and triangle $T$ as above,we must have $a < \frac{\operatorname{Area}(C)}{\operatorname{Area}(T)} < b$

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