document.write( "Question 1135825: Calculate the area of the major segment of a circle of radius 10cm cut off by a chord of length 12cm \n" ); document.write( "
Algebra.Com's Answer #753518 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Draw the radii to the two ends of the chord, and draw the radius that is perpendicular to the chord. \n" ); document.write( "The radius perpendicular to the chord bisects the chord. Your picture now has two right triangles with hypotenuse 10 and one leg 6; the other leg (distance from center of circle to chord) is then 8. \n" ); document.write( "Use those right triangles to determine the central angle corresponding to the chord; the central angle of the major segment of the circle is 360 degrees minus that angle. \n" ); document.write( "Multiply the area of the whole circle by the fraction of 360 degrees represented by the central angle of the major segment of the circle. \n" ); document.write( " |