A wire of length 176 cm is first bent into a square and then into a circle. Which one will have more area?
Length of the wire = 176 cm
Side of the square = 176 ÷ 4 cm = 44 cm
Area of the square = (Side)2 = (44)2 cm2 = 1936 cm2
Circumference of the circle = 176 cm
2πr = 176 cm
2×22/7 × r = 176 cm
r = (176×7)/(2×22) = 28 cm
∴ Area of the circle = πr²
=22/7 × 28 × 28 = 2464 cm²
Since 2464 cm2 > 1936 cm2
Hence, the circle will have more area.