Question

2. A plane intersecting a sphere of radius 15 is 12 units from the center of the sphere. Find
the radius of the small circle and its polar distance.​

Answer 1

Given :  A plane intersecting a sphere of radius 15  is 12 units from the center of the sphere.

To find : the radius of the small circle

Solution:

A plane intersecting a sphere of radius 15

12 units from the center of the sphere.

Let say radius of circle formed = r

r² + 12² = 15²

=> r² + 144 = 225

=> r² = 81

=> r = 9

radius of the small circle   =  9  units

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