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.

1 answer

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