SOLUTION: Anna cuts four identical circles from a square piece of black poster paper as shown. The perimeter of the square is 64 units. a) What is the circumference of one of t

Algebra ->  Circles -> SOLUTION: Anna cuts four identical circles from a square piece of black poster paper as shown. The perimeter of the square is 64 units. a) What is the circumference of one of t      Log On


   



Question 1157966: Anna cuts four identical circles from a square piece of black poster paper as shown. The
perimeter of the square is 64 units.
a) What is the circumference of one of the circles
Rounded to the tenths?
b) What is the area of the leftover poster paper (black
shaded region) rounded to the tenths?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The side of the square must be 16 units
That is the diameter of the circle.
The area of the circle is 8^2*pi or 64 pi square units or 201.1 square units. The total area of the square is 256 sq units
The leftover is 54.9 sq units, 256-201.1
the circle takes up pi/4 of the square's area.