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Mathematics 10 Online
OpenStudy (anonymous):

A plane intersects a sphere that has a radius of 13cm. The distance from the center of the sphere to the closest point on the plane is 5 cm. What is the radius of the circle that is the intersection of the sphere and the plane?

OpenStudy (amistre64):

id assume its 12

OpenStudy (amistre64):

you have a right triangle formed by 5 from center and a radius measure of 13; the "radius" of the circle formed by this cut is then: 5^2 + r^2 = 13^2

OpenStudy (anonymous):

Thankyou.

OpenStudy (amistre64):

yep; hopefully this picture makes it clearer

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