SOLUTION: A circle is inscribed inside a square that has an area of 256 in squared. What is the area of the circle?Round to the nearest inch.

Algebra ->  Circles -> SOLUTION: A circle is inscribed inside a square that has an area of 256 in squared. What is the area of the circle?Round to the nearest inch.      Log On


   



Question 298809: A circle is inscribed inside a square that has an area of 256 in squared. What is the area of the circle?Round to the nearest inch.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square = the length of one side squared or A+=+L%5E2
Take the square root of both sides to find the length of the side
sqrt%28256%29+=+L
16+=+L
Note that all 4 sides are the same in a square. So the radius of the circle will be half of the length of the square.
R = 8in
The area of a circle: A+=+pi%2AR%5E2
Area of the circle: A+=+pi%2A8%5E2
Area of the circle: highlight%28A+=+201in%5E2%29