An electric cable is bent in the form of circular form encloses an are

1.	An electric cable is bent in the form of circular form encloses an area of 154 cm2. If the same cable is bent in the form of square, then calculate the area of region enclosed by that wire?1). 1052). 1353). 1404). 121
Answer» According to the condition given in the PROBLEM, Area of circle = 154 ⇒ 22/7 × r² = 154 ⇒ r² = 49, ⇒ r = 7 The wire is bent in the form of square, then Length of wire = perimeter of circle Length of wire = 2 πr = 2π × 7 = 44 cm = perimeter of square ⇒ 4a = perimeter of square (assuming a = side of square) ⇒ 4a = 44 ⇒ a = 11 Area of square = a² = 11² = 121 cm² ∴ Area of square is 121 cm²

An electric cable is bent in the form of circular form encloses an area of 154 cm2. If the same cable is bent in the form of square, then calculate the area of region enclosed by that wire?1). 1052). 1353). 1404). 121

Answer»

According to the condition given in the PROBLEM,

Area of circle = 154

⇒ 22/7 × r² = 154

⇒ r² = 49,

⇒ r = 7

The wire is bent in the form of square, then

Length of wire = perimeter of circle

Length of wire = 2 πr = 2π × 7 = 44 cm = perimeter of square

⇒ 4a = perimeter of square (assuming a = side of square)

⇒ 4a = 44

⇒ a = 11

Area of square = a² = 11² = 121 cm²

∴ Area of square is 121 cm²

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An electric cable is bent in the form of circular form encloses an area of 154 cm2. If the same cable is bent in the form of square, then calculate the area of region enclosed by that wire?1). 1052). 1353). 1404). 121

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