# math

posted by Lala

ABC is a sector of a circle with
radius R cm and centered at C. The arc DE lies on a circle also centered at C.If
the arc DE divides the sector ABC into two
regions of equal area.
Find the length of the interval CD in terms of R.

1. Scott

the area is proportional to the square of the radius

CD^2 = R^2 / 2

CD = R√2 / 2

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