Question
What is the area of a circular field? I. The area
of the largest square that can be inscribed in the given circular field is 450 cm². II. The area of the smallest square in which the given circular field can be inscribed is 900 cm². Each of the questions below consists of a question and three statements numbered I and II given below it. You have to decide whether the data provided in both the statements are sufficient to answer the question. Read all the statements and give answer –Solution
From I, Area of largest square inscribed in a circle of radius r is 2r². Then, 2r² = 450 ∴ r = √225 = 15 cm Thus we can find the area of the circular field. Hence I alone is sufficient to answer the question. From II. Area of the smallest square in which a circle can be inscribed = 4r². Then, 4r² = 900 ∴ r² = √225 = 15 cm Thus we can find the area of the circular field. Hence II alone is sufficient to answer the question.
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