If you cut a circle in 3 equal pieces what is the angle formed by the cut edges of a single piece in radians.?

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2007-11-17 06:35:39 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 pi / 3

2007-11-17 06:39:20 · answer #1 · answered by harry m 6 · 0⤊ 0⤋

Since a circle is 360 degrees, and this is equal to 2 * pi radians, it follows that one third of a circle is 2 * pi / 3 radians.

2007-11-17 06:41:34 · answer #2 · answered by OldGuyEngineer 3 · 0⤊ 0⤋

360 degrees - i.e. a circle is 2*pi radians. If you divide it equally into three you get

2/3*pi radians.

2007-11-17 06:41:31 · answer #3 · answered by davidbgreensmith 4 · 0⤊ 0⤋

Full circle = 2π radians
a third of a circle = 2π(1/3) = (2/3)π radians

2007-11-17 06:40:56 · answer #4 · answered by DWRead 7 · 0⤊ 0⤋

a whole circle has 2pi radians, so 1/3 of a circle has 2pi/3 radians

2007-11-17 06:40:42 · answer #5 · answered by Steve A 7 · 0⤊ 0⤋