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Ivan
3 years ago
9

The equation of a circle is given below.

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Coordinates of center and radius of circle is  (h,k)=(13.40,-2.60)\\r=10 .

<u>Step-by-step explanation:</u>

Here we have , The equation of a circle is given below.

(2 – 13.4)2 + (y + 2.6)2 = 100 or , (x -13.4)^2 + (y + 2.6)^2 = 100

We know that , Equation of circle is given by :

⇒ (x-h)^+(y-k)^2 =r^2  ...........(1)

where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;

⇒  (x -13.4)^2 + (y + 2.6)^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 10^2

Comparing this equation to (1) we get :

(h,k)=(13.40,-2.60)\\r=10

Therefore , Coordinates of center and radius of circle is (h,k)=(13.40,-2.60)\\r=10 .

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