Posted by **Cynthia** on Thursday, October 9, 2008 at 5:11pm.

The equation of a circle with centre O(0,0) is x^2+y^2=40. The points A(-2,6) and B(-6,-2) are endpoints of chord AB. DE right bisects chord AB at F.

a)Verify that the centre of the circle lies on the right bisector of chord AB.

b)Find the distance from the centre of the circle to chord AB, to the nearest tenth.

now, i can do the problem, but i just dont understand where i use x^2+y^2=40.. i mean what's the purpose of it??? PLEASE HELP ME!!

- math -
**Reiny**, Thursday, October 9, 2008 at 5:43pm
From the given circle equation you would have to know that its centre is (0,0) and its radius is √40

Notice that both A and B satisfy the equation of the circle, so A and B lie on the circle and AB is indeed a chord.

In a) you are probably expected to illustrate the property that the right-bisector of any chord passes through the centre of the circle.

You claim you did that, ok.

BTW, what did you get for the distance from the centre to chord AB ?

## Answer This Question

## Related Questions

- math - Two chords in a circle are equal in lengh.The distances from the centre ...
- math circle geometrics - The distance of a chord from the centre of a circle of ...
- Maths - AB is a chord with centre O and radius 4 cm. AB is of length 4 cm and ...
- maths - A chord is 2cm from the centre of a circle. if the ratius of the circle ...
- Circle geometry - A chord is 6.0 cm from the centre of a circle of radius 10 cm...
- Math - A chord subtends an angle of 68° at the centre of a circle of radius ...
- maths - A chord subtends an angle of 68 degree at the centre of a circle of ...
- math - How much % above the cost price should a shopkeeper mark his good so that...
- math - can u help this the qustion is : A circle passes through the points (1,4...
- steev - can u help this the qustion is : A circle passes through the points (1,4...

More Related Questions