find a formula for the following function

the top half of a circle with center (a,b) and radius r

need some help with this one thanks...

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- Mar 27th 2008, 10:08 AMmathleteCircle problem
find a formula for the following function

the top half of a circle with center (a,b) and radius r

need some help with this one thanks... - Mar 27th 2008, 10:23 AMiknowone
Every point on the graph of a circle of radius satisfies the following relationship:

So to express as a function of rewrite:

The top half of the circle is just

Now to shift this function to be centered at we have to shift the function up by and over by .

- Mar 27th 2008, 10:24 AMTheEmptySet
- Mar 27th 2008, 10:32 AMtopher0805
The equation of a circle is:

Where (h,k) is the center of the circle.

The equation for the two halves of a circle are given by isolating y.

We are only interested in the top half so we only take the positive square root: