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If a circle is diametrically divided in sixteen parts, how many radii will it have finally ?

  • A.16
  • B.32
  • C.64
  • D.24

Answer: A

The circle will have 16 radii.

Each diameter is made of two radii, and dividing a circle into 16 equal sectors needs 8 diameters, each passing through the centre. Those 8 diameters give \(8 \times 2 = 16\) radii, one bounding line for each of the 16 parts, just as a cake cut into 16 slices has 16 cut lines from the centre.

32 doubles the count by treating each part as having two radii of its own, forgetting that neighbouring parts share them. 64 and 24 match no construction.

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