How to identify the center and radius of the circle


Asked by admin @ in Mathematics viewed by 341 People


Identify the center and the radius of a circle with equation (x-4)^2+(y+2)^2=9

Answered by admin @



Answer:

center:(4,-2)

Radius: 3 units

Step-by-step explanation:

The standard equation of a circle is given as (x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius of the circle.

The given equation is (x-4)^2+(y+2)^2=9.

We compare to the standard equation of the circle to get;

x-h=x-4

\Rightarrow -h=-4

\Rightarrow h=4

and

y-k=y+2

\Rightarrow -k=2

\Rightarrow k=-2

Hence the center of the circle is (4,-2).

Also, we have r^2=9

Therefore r=\sqrt{9}

r=3 units.


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