# geometry

posted by Lauren

Given that circle A has a radius of 52 and a radii AB and AC form an angle of 132 degrees, find the exact length of BC

1. Reiny

arc length = rØ, where Ø is the angle of the sector in radians

so Ø/2π = 132/360
Ø = 2π(11/30) = 22π/30

arc = 52(22π/30) = 572π/15 units

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