Question

Question #5027e

Answer 1

Area of the circle covered by the copper wire

`A_c = color(purple)(5544 m^2)`

Explanation:

Area of square `A_s = a^2 = 4356 m^2`

`a = sqrt (4356) = 66 m`

Length of the copper wire = perimeter of the square
`P_s = 4 * 66 = 264 m`

This is also the circumference of the circle.

Therefore circumference of the circle `P_c = 2 pi r = 264 m`

Radius of circle `r = 264 / (2 pi ) = (264 * 7) / (2 * 22) = 42 m`

Area of circle `A_c = pi r^2 = (22/7) * (42)^2 = 5544 m^2`