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.
Evaluate: 360 ÷ [ {18 − (6×2)} × 5 ] + 72 − 33
(43)² - (28)² + (32)² = ?% of 2500
Evaluate:
√729 + √49 - √16 + 1/√64
What will come in place of (?) in the given expression.
12.5 + 7.75 - 3.6 = ?62 of 8 - 320 ÷ 4 = ?3 + 200
2(1/3) + 2(5/6) – 1(1/2) = ? – 6(1/6)
What will come in the place of question mark (?) in the given expression?
30% of 520 + 16% of 1500 = ? + 244
60% of 120 – ?% of 64 = 20% of 200
35% of 840 + 162 = ? – 25% × 300
20% of 240 + 18% of 200 = ?
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