document.write( "Question 693314: A square of side x is inscribed in a circle. Express the area A of the circle as a function of x. \n" ); document.write( "
Algebra.Com's Answer #427550 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A square of side x is inscribed in a circle. Express the area A of the circle as a function of x.
\n" ); document.write( "**
\n" ); document.write( "Use sector area formula to solve:
\n" ); document.write( "area of one of 4 sectors=(1/2)r^2A
\n" ); document.write( "diameter of circle=(√2/2)x
\n" ); document.write( "r=√2/4)x
\n" ); document.write( "r^2=(2/16)x^2=(x^2)/8
\n" ); document.write( "A=π/2(central angle)
\n" ); document.write( "Area of circle=4*(1/2)(x^2/8)*π/2=πx^2/8
\n" ); document.write( "
\n" );