Thread: Locus

What are we missing here?

A is a fixed point. Describe the locus of the centres of circles which pass through A and have a radius of 5cm.

Between us we are usually ok with maths - but this has thrown us.

Thanks.

Originally Posted by mrsmonopoly

What are we missing here?

A is a fixed point. Describe the locus of the centres of circles which pass through A and have a radius of 5cm.

Between us we are usually ok with maths - but this has thrown us.

Thanks.

It looks like to me that the locus of centers as you describe would be a circle with center A and a radius of 5 cm.

Hello
A is a fixed point. Describe the locus of the centres of circles which pass through A and have a radius of 5cm.

locus is a set of points which satisfies given condition
here there can be infinitely many circles around A with radius 5cm
but when we take the complete set of their centres we get a circle
of radius 5cm with A as centre

So if we have to draw the answer, are you saying we should draw a 5 cm circle with A in the centre?

I'm sorry!

Originally Posted by mrsmonopoly

So if we have to draw the answer, are you saying we should draw a 5 cm circle with A in the centre?

I'm sorry!

You could do that. But after you draw 3 or 4 you can easily see what is taking place when you start connecting the centers.