SOLUTION: A Square with area of 16 is partitioned into four congruent small squares. What is the area of the circle that passes through the centers of the four smaller squares?

Question 34216: A Square with area of 16 is partitioned into four congruent small squares. What is the area of the circle that passes through the centers of the four smaller squares?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Draw the picture. Sides of the original square are 4 inches/
Sides of each small square are 2 inches.
Need to find the radius of the circle in order to find the circle's Area.
Draw a line segment from the center of the cirle to a center
point of one of the smaller squares; that is the radius of the circle.
Draw a line segment from the center of the same small square perpendicular
to a side forming a right triangle with the radius of the circle as its
hypotenuse.
The two sides of this triangle are each 2 inches in length.
Use Pythagoras to find the hypotenuse length which is 2sqrt2.
Then find the Area of the circle using Area=(pi)r^2.
Cheers,
Stan H.
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