Question

A gardener wants to enclose a circular garden with a square fence. If the circumference of the circular garden is about 99 feet, about how many feet of fencing would be needed? Use 3.14 to approximate for\pi π . Round your answer to the nearest tenth.

Answer 1

The square will be equal to the diameter of the circle.  The circumference of a circle is π times the diameter, and the perimeter of the square is four times times that diameter...

C=πd

d=C/π

p=4d so

p=4C/π feet, since C≈99 ft and π≈3.14

p≈4(99)/(3.14)

p≈126.1 ft  (to nearest tenth of a foot)