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Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and y-axis is constant! Moreover, that constant is same to the length of S:
A + B = s2 - s1.
In Figure, note that regions A and B overlap; in that part the area is counted double times. The quantity (s2 - s1) shows the length of S along the arc from s2 to s1.
examples of construction of excircles
railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel
1+2+3+.....+n=1/2n(n+1)
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Certain model of new home distributed with a mean of $150,000. Find percentage of buyers who paid between $150,000-155,000 if standard deviation is $1800.
2+2=
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