Sunday

September 21, 2014

September 21, 2014

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

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 10:17pmDraw 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

**Answer this Question**

**Related Questions**

geometry - A plane intersects a sphere that has a radius of 13 cm. The distance ...

Geometry - A plane intersects a sphere that has a radius of 13cm. The distance ...

Geometry - A sphere consists of all the points that are 5 units from its center...

geometry - A cross-section of a sphere (when cut by a plane through its center) ...

math - A plane P cuts a sphere O in a circle that has a diameter of 20. If the ...

physics - A solid sphere rolls up an inclined plane of inclination angle 35 ...

PHYSICS - A 494 kg uniform solid sphere has a radius of 0.390 m. Find the ...

geometry - First of all let me apologize if this is the wrong section; this is a...

Spheres, Locus (in space aka 3d) - 1) A "small circle" is a circle on a sphere ...

Geometry - What is the area of a circle formed by the intersection of a plane ...