document.write( "Question 38096: a rectangle with dimensions of 5 x 8 is inscribed in a circle. what is the area and circuference of this circle?[ inscribed means inside the vertexs touching the edge of the circle]. \n" ); document.write( "
Algebra.Com's Answer #23593 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A rectangle with dimensions of 5 x 8 is inscribed in a circle. What is the area and circumference of this circle?\r \n" ); document.write( "\n" ); document.write( "Draw the picture. \n" ); document.write( "Draw a diagonal of the rectangle. \n" ); document.write( "The diagonal is also the diameter of the circle. \n" ); document.write( "Notice the right triangle with the diagonal as the hypotenuse. \n" ); document.write( "Use Pythagoras to find the length of the diagonal/diameter. \n" ); document.write( "diag^2=5^2+8^2=89 \n" ); document.write( "diag=sqrt(89)=9.434 \n" ); document.write( "Circumference of the circle = (pi)d = 9.434(pi)=29.64 units \n" ); document.write( "Area of the circle = (pi)r^2 = (pi)4.717^2=69.90 sq. units \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |