Question

he Garcia family bought 400 yards of fencing to enclose a circular wildflower garden. They will use all of the fencing. a. What is the diameter of the garden? b. Use your answer to part a to find the area enclosed by the fence?

Answer 1

9514 1404 393

Answer:

• 127.32 yards diameter
• 12,732.4 square yards area

Step-by-step explanation:

The diameter can be found from the circumference using the relation ...

  C = πd

  d = C/π = (400 yd)/π ≈ 127.32 yd . . . . diameter

The area is ...

  A = πr²

where the radius (r) is half the diameter.

  A = π(63.662 yd)² ≈ 12,732.4 yd² . . . . area

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Additional comment

We have used a full-precision value for pi. If you use 3.14, your answers will be different. Your diameter will be about 127.4 yards; your area about 12,738.9 yd².