Question 1135825
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Draw the radii to the two ends of the chord, and draw the radius that is perpendicular to the chord.<br>
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.<br>
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.<br>
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.