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**debjit625****Member**- Registered: 2012-07-23
- Posts: 91

Find the radius of the circular section of sphere

by the planeMy answer came out to

Did I did it correctly,I am bit confused over the question.

Thanks

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,466

hi debjit625

I get that too.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 91

Thanks Bob

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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how do you do it?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,466

Give me a moment while I look up an url

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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Okay

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,466

OK. Got it.

You could treat the two equations as simultaneous and find the equation of their intersection. Buit this is hard work. So here's a quicker method.

http://www.enm.bris.ac.uk/admin/courses … ov2009.pdf

Section called Point and a Plane. 3.37

n is the normal to the plane ie n = (3,2,-1) and take a as a = (0,0,0)

d = 5root14

once you have p you can use pythag on the radius of the sphere as the hypotenuse and find r, the radius of the circle.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 91

Well I did it like this

By equation of the sphere its already given that the sphere is at origin (0,0,0).

Now from there we get radius of the sphere is

Now we have to find the distance 'd' of the plane from origin and that will be

Now use Pythagoras theorem to find the radius of the section by the plane

Good Luck

*Last edited by debjit625 (2014-01-23 03:56:16)*

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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