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Which of the following given statement(s) is / are TRUE?A: Maximum possible area of a circle that can be inscribed inside a square of side 14 cm is 154 cm2.B: Area of a path of width 2 m running outside a square park of side 7 m is 72 cm2.C: Maximum number of square tickets of side 1.5 cm that can be cut from a large piece of rectangular paper of sides 18 cm and 21 cm is 168.1. B2. A and B3. A, B and C4. C |
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Answer» Correct Answer - Option 3 : A, B and C GIVEN: Three statements. CONCEPT: Mensuration FORMULA USED: Area of circle = πR2 Area of square = a2 CALCULATION: A: Diameter of circle = Side of square = 14 cm Radius of circle = 14 / 2 = 7 cm Maximum possible area of a circle = (22 / 7) × 72 = 154 cm2 B: Area of a path = Area of park with path - Area of park without path = (7 + 2 + 2)2 - 72 = 121 - 49 = 72 cm2 C: Maximum number of square tickets = Area of large piece of paper / Area of one ticket = (18 × 21) / 1.52 = 12 × 14 = 168 Hence, all A, B and C are TRUE. |
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