Engineering Board Exam Reviewer · Solid Geometry: Cones, Spheres, and Frustums · medium

A plane cuts a sphere of radius 5 at a distance of 3 from the center. Find the area of the circle of intersection.

  1. 25 π 78.54
  2. 9 π 28.27
  3. 16 π 50.27
  4. 4 π 12.57

Answer

C. 16 π 50.27

Solution

The circle's radius is sqrt(52-32)=4, so its area is 16π 50.27.

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