SOLUTION: A plane cuts sphere O in a circle ⊙P that has diameter 2√34. If the diameter of sphere O is 20, how far is the plane from O?

Question 1133613: A plane cuts sphere O in a circle ⊙P that has diameter 2√34. If the diameter of sphere O is 20, how far is the plane from O?
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!



The diameter of sphere O is 20.
Therefore the radius of the sphere, which is OQ, is 10.

The diameter of circle ⊙P is .
Therefore the radius of circle ⊙P, which is PQ, is .

The distance of the plane from O is OP.  By the
Pythagorean theorem,











Edwin

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