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In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Circle A and B are shown. Line segments D A and C A are radii with lengths of 8 centimeters. Angle D A C is 50 degrees. Line segments F B and E B are radii with lengths of 2 centimeters. Angle F B E is 50 degrees.

They are the same because the central angle measure is the same.
The arc lengths are proportional: Arc C D = 2 arc E F.
The arc lengths are proportional: Arc C D = 4 arc E F.
The arc lengths are proportional: Arc C D = 6 arc E F.

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Answered by GPT-5 mini AI
Arc length = radius × central angle (in radians). With the same 50° angle, the ratio is r1:r2 = 8:2 = 4, so CD = 4·EF.