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Home > GC > Chapter 11 > Lesson 11.2.2 > Problem 11-84


Sphere, with cut off portion, shown as a shaded circle. A dashed line, labeled, x, from center of sphere, perpendicular to shaded circle.While making his lunch, Alexander sliced off a portion of his grapefruit. If the area of the cross-section of the slice (shaded at right) was , and if the diameter of the grapefruit was inches long, find the distance between the center of the grapefruit and the slice. Assume the grapefruit is a sphere.  

If the inches, then the inches.

By the Pythagorean Theorem