SOLUTION: A plane 5cm from the center of a sphere intersects the sphere in a circle with diameter 24cm. Find the diameter of the sphere.

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Question 1029751: A plane 5cm from the center of a sphere intersects the sphere in a circle with diameter 24cm. Find the diameter of the sphere.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Try to imagine or DRAW the cross-section.

A line is 5 cm from the center of a circle, and the segment connected the intersected points in the circle is 24 cm. You want to find the diameter of the circle. Treat this as a coordinate geometry exercise. Choose the origin as the center of the circle. Although I say, "coordinate geometry", maybe you can solve this using Pythagorean Theorem.

Do you obtain this along the way?
5%5E2%2B%2824%2F2%29%5E2=r%5E2 using r as the radius of the circle serving as a hypotenuse