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.
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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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