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Section 12-4 Spheres. Recall… Set of all points in space at a given distance from a given point. Sphere:

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Presentation on theme: "Section 12-4 Spheres. Recall… Set of all points in space at a given distance from a given point. Sphere:"— Presentation transcript:

1 Section 12-4 Spheres

2 Recall… Set of all points in space at a given distance from a given point. Sphere:

3 Great circle The intersection of a plane and a sphere so that the center of a sphere is included

4 hemisphere Two congruent halves of a sphere separated by a great circle.

5

6 Theorem 12-9 The area of a sphere equals times the square of the radius.

7 Theorem 12-10 The volume of a sphere equals times the cube of the radius.

8 True or False 1.Every plane that intersects a sphere is a great circle. 2.The Eastern Hemisphere of Earth is congruent to the Western Hemisphere of Earth. True False

9 True or False 3.The diameter of a sphere is congruent to the diameter of its great circle. True


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