Answer:
Center: (-10,4) Radius: 10
Step-by-step explanation:
One of the formula's for a circle is defined as:
(x-k)^2 + (y-l)^2 = r^2
The center is defined as (k,l) and r is the radius
If we take the square root of 100 we get 10 as our answer.
For the center -10 and 4 are the x and y coordinates respectively.
The center of the circle is (-10 , 4) and the radius of the circle is 10.
The equation of a circle is (x - h)² + (y - k)² = r²
(h , k) represents the center of the circle
r is the radius of the circle
Given equation of the circle is:
(x + 10)^2 + (y - 4)^2 = 100
(x -(-10))^2 + (y - 4)^2 = (10)^2
comparing this to the general equation (x - h)² + (y - k)² = r²
We get h = -10, k = 4 and r = 10
Hence the center of the given circle is (-10 , 4) and radius is 10.
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