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If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its center point is

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The circle equation is written as (x-h)² + (y-k)² = r²

(h,k) is the center and r is the radius.

In the given equation the center is at (-4,6)

hope this helps :)
User Varg
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2 votes

Answer:

the center point of the given equation is (-4,6)

Explanation:

the equation of a circle is (x + 4)^2 + (y - 6)^2 = 25

The given equation is in center radius form

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

where (h,k) is the center and 'r' is the radius

Now compare the given equation with center radius form of the equation

h=-4 and k=6

center is (h,k) so the center point of the given equation is (-4,6)

User Touhid Udoy
by
8.3k points

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