Really need help with this problem

The equation of a circle is the equation that represents the circle on the coordinate plane

The equation of the circle is '

From the attached figure, we have the following parameters:

Start by calculating the radius r using the following distance formula

So, we have:

Square both sides

The equation of the circle is then calculated as:

Substitute values for a and b

This gives

Substitute

Hence, the equation of the circle is '

Read more about circle equations at:

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4