Question

Identify the radius and the center of a circle whose equation is (x – 5)² + y² = 81.
The radius of the circle is
units.
The center of the circle is at (
,
).

Answer 1

center: (5;0)
radius = 9

Answer 2

The center of the circle is required.

The radius is 9 units.

Center is at $(5,0)$

The equation of the circle is

$(x-5)^2+y^2=81$

The general equation of a circle is

$(x-h)^2+(y-k)^2=r^2$

where,

$(h,k)$ = Center of circle

$r$ = Radius of circle

The given equation can also be written as

$(x-5)^2+(y-0)^2=9^2$

So, the radius is 9 units.

Center is at $(5,0)$

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