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. In each of the following questions, a question is followed by two statement. Read all the statements and find that which statements are required to answer the question and answer accordingly.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 = 80/√2 Hence Area of the circular field = πr2 = π×(80/√2)^2 = π×6400/2= 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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