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lions [1.4K]
3 years ago
10

The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?

Mathematics
2 answers:
azamat3 years ago
3 0
[x-(-10)]²+(y-6)²=4²
the answer is (<span>x + 10)^2 + (y – 6)^2 = 16</span>
timofeeve [1]3 years ago
3 0

The equation of circle is given by :

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

where,

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

Now we are given :

Center (h,k) as (-10,6) and radius as 4

Plugging these values in the equation ,

(x-(-10))^{2} + (y-6)^{2}  = 4^{2}

So equation of circle with center at (-10,6) and radius 4 is given by:

(x+10)^{2} + (y-6)^{2}  = 16

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