Question
What is the area of the circular field?
Statement I: The area of the largest square that can be inscribed in the given circular field is 6400 sq. cm. Statement II : The area of the smallest square in which the given circular field can be inscribed is 4900 sq. cm. Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer –Solution
From statement I: Diagonal of the square = Diameter of the circular field Side of square = √6400 cm = 80 cm diagonal of square = √2 side = √2 × 80 = 80√2 cm So 80√2 = 2r So r = 40√2 Hence Area of the circular field = πr2 = π×(40√2)^2 = 3200π cm2 From statement II: Side of a square = √4900 = 70 cm = diameter of circle So 2r = 70 or r = 35cm Area of circular field = πr2 = π×352 = 1225π cm2 So answer can be determined by either of statement I or II.
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