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solves your problem and answers your question without ever seeing the drawing

that's supposed to go along with it, and with no idea what 'BC' and 'ab' are . . .

-- A whole circle has a central angle of 360 degrees.

-- A whole circle with a radius of 10 has a circumference of [ (2 pi) x (radius) ] = 20 pi .

-- A slice of cake with a central angle of 120 degrees is 1/3 of a circle.

-- The arc at the fat end of the slice is 1/3 of the full circle's circumference = 20 pi/3 = 20.944 (rounded)

-- Just in case 'BC' is the long arc, then its length is the other 2/3 of the whole circle

= 2 x 20 pi/3 = 41.888 (rounded)

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13y ago

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