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# Co-ordinate Geometry MEI C1 Help

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1. A(2,-1) and B(4,3) are two points on a circle with centre (1,2). What is the distance of the chord from the centre of the circle?
A step to step solution thanks
2. (Original post by davies4phones)
A(2,-1) and B(4,3) are two points on a circle with centre (1,2). What is the distance of the chord from the centre of the circle?
A step to step solution thanks
We don't give step-by-step solutions here. Have a go first, show us what you've done and where you're going wrong, then we'll be able to guide you in the right direction.

As for a place to start, sketch a small diagram of the circle, chord and the centre. I assume it wants the shortest distance from the chord to the centre which would mean you need to find a point on the chord (A) which makes OA perpendicular to the chord, then find the distance of this line.
3. you need to find the midpoint of the chord then using the equation ( which is probably in your book) you can find the distance between the two points
4. (Original post by RDKGames)
We don't give step-by-step solutions here. Have a go first, show us what you've done and where you're going wrong, then we'll be able to guide you in the right direction.

As for a place to start, sketch a small diagram of the circle, chord and the centre. I assume it wants the shortest distance from the chord to the centre which would mean you need to find a point on the chord (A) which makes OA perpendicular to the chord, then find the distance of this line.
So the midpoint of the chord is (3,1)
so then do I need to find out the distance between (1,2) and (3,1) using the distance formula involving pythag
5. (Original post by davies4phones)
So the midpoint of the chord is (3,1)
so then do I need to find out the distance between (1,2) and (3,1) using the distance formula involving pythag
That's right.
6. (Original post by CrystalSalvatore)
you need to find the midpoint of the chord then using the equation ( which is probably in your book) you can find the distance between the two points
Thank you
7. (Original post by RDKGames)
That's right.
Thank you!

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