document.write( "Question 200841: A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tangency on the y-axis? \n" ); document.write( "
Algebra.Com's Answer #151065 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A circle is tangent to the x-axis and to the y-axis. The coordinates of its center are both positive. The area of the circle is 64pie. What are the coordinates of the point of tangency on the y-axis? \n" ); document.write( ". \n" ); document.write( "Area of a circle = (pi)r^2 \n" ); document.write( ". \n" ); document.write( "They gave us the area as 64(pi) \n" ); document.write( ". \n" ); document.write( "64(pi) = (pi)r^2 \n" ); document.write( "64 = r^2 \n" ); document.write( "8 = r (radius) \n" ); document.write( ". \n" ); document.write( "Since the coordinates of the center are both positive, we know it is in the 1st quadrant. \n" ); document.write( ". \n" ); document.write( "point tangent on the y-axis is then (0,8) \n" ); document.write( " |