# math

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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.

• math -

the area is proportional to the square of the radius

CD^2 = R^2 / 2

CD = R√2 / 2

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