SOLUTION: Briana's backyard is a square that measures 20 feet on each side. She wants to plant the largest circular garden possible to fit in her backyard. A. What will be the area o

Algebra ->  Surface-area -> SOLUTION: Briana's backyard is a square that measures 20 feet on each side. She wants to plant the largest circular garden possible to fit in her backyard. A. What will be the area o      Log On


   



Question 433280: Briana's backyard is a square that measures 20 feet on each side. She wants to plant the largest circular garden possible to fit in her backyard.

A. What will be the area of the circular garden? Explain how you found your answer.

B. What is the area of the backyard that will not be included in her garden? Explain how you found your answer

Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
The largest circular garden that will fit in a 20x20 square is one with a diameter of 20. Radius is half the diameter, so the radius is 10.
Area of a circle is pi%2Ar%5E2 = pi%2A10%5E2=100pi=314.15ft%5E2
Area of the backyard is 20x20=400.
The area of the yard that is not in the garden would be the area of the square minus the area of the circle.
400-314.15=83.85ft%5E2