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A circle having an area of 452 square inches is cut into two segments by a chord, which is 6 inches from the center of the circ...Asked by sweet
a circle having an area of 452 square inches is cut into segments by a chord, which is 6cm from the center of the circle. Find the area of the bigger segment.
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Answered by
Scott
π r² = 452 ... r = 12
the triangle formed by the chord and the radii from the ends has a central angle of 120º
so 2/3 of the circle (240º / 360º), plus the area of the triangle; is the area of the larger segment
the triangle formed by the chord and the radii from the ends has a central angle of 120º
so 2/3 of the circle (240º / 360º), plus the area of the triangle; is the area of the larger segment