Question

The center circle of a soccer field prohibits a defender from being near the ball at the start or restart of a soccer game. On a professional soccer field this circle is 20 yards in diameter. Find the area of this circle. Show work or explain how you found your answer.

Answer 1

In terms of diameter (d), the area (A) of a circle is given by the formula
 A = (π/4)d²

You have d=20 yd, so the area of the circle is
 A = (π/4)×(20 yd)² . . . . substitute the given information into the formula
 A = 100π yd² . . . . . . . . do the arithmetic
 A ≈ 314.16 yd²