document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #20522 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Draw the picture. Sides of the original square are 4 inches/ \n" ); document.write( "Sides of each small square are 2 inches. \n" ); document.write( "Need to find the radius of the circle in order to find the circle's Area. \n" ); document.write( "Draw a line segment from the center of the cirle to a center \n" ); document.write( "point of one of the smaller squares; that is the radius of the circle. \n" ); document.write( "Draw a line segment from the center of the same small square perpendicular \n" ); document.write( "to a side forming a right triangle with the radius of the circle as its \n" ); document.write( "hypotenuse. \n" ); document.write( "The two sides of this triangle are each 2 inches in length. \n" ); document.write( "Use Pythagoras to find the hypotenuse length which is 2sqrt2. \n" ); document.write( "Then find the Area of the circle using Area=(pi)r^2. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |