Question

The perimeter of circular and square fields is equal. If the area of the square field is 484 m² then the diameter of the circular field is ____________.

Options

• 14 m

•  21 m

• 28 m

• 7 m

Answer 1

The perimeter of circular and square fields is equal. If the area of the square field is 484 m² then the diameter of the circular field is 28 m.

Explanation:

Side of square field `= sqrt484 = 22  "meter"`

Circumference of circular field = Perimeter of the square field

`=> 2 pi "r" = 4 xx 22`

`=> 2 xx 22/7 xx "r" = 4 xx 22`

`=> "r" = 14  "meter"`

`therefore "Diameter" = 28  "meter"`