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Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. What is the area of circle P? I. The perimeter of circle is 31.4 cm. II. The largest chord of circle is 10 cm.

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. What is the area of circle P? I. The perimeter of circle is 31.4 cm. II. The largest chord of circle is 10 cm. Correct Answer Either Statement I or Statement II alone is sufficient to answer the question.

From statement I:

The perimeter of circle is 31.4 cm.

⇒ 2π R = 31.4

From this, radius can be found, and hence the area.

∴ Statement I alone is sufficient to answer the question.

From statement II:

The largest chord of circle is 10 cm.

⇒ 2R = 10

From this, radius can be found, and hence the area.

∴ Statement II alone is sufficient to answer the question.

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