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In a right cone's development, what fixes the angle of the sector at its apex?

  • A.the ratio of base radius to vertical height
  • B.the ratio of vertical height to slant height
  • C.the absolute size of the base circumference
  • D.the ratio of base radius to slant height

Answer: D

The arc must equal the base circumference while the radius is the slant height, so the angle is 360 times the base radius over the slant height. Two cones of quite different size but the same ratio develop as sectors of identical angle.

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