Posted by **Anna** on Thursday, March 27, 2008 at 9:46pm.

I don't know how to draw or do this.

A plane 5 cm from the center of a sphere intersects the sphere in a circle with diameter of 24 cm. Find the diameter of the sphere.

- Geometry -
**Reiny**, Thursday, March 27, 2008 at 10:17pm
Draw a circle and draw a line cutting the circle, that line will represent the plane

So you are looking at a cross-section.

the length of the chord is 24 cm.

draw a line from the centre to that chord, it will be 5 cm.

Draw a line from the centre to the end of the chord, this would be the radius of the circle.

Don't you have a right-angled triangle where the hypotenuse is the radius??

so r^2 = 12^2 + 5^2

r = 13

so the diameter of the circle is 26

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