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ZanzabumX [31]
3 years ago
12

The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is (x - 4)² + y² = 2√3 (x - 4)² + y² = 12 (x + 4)²

+ y² = 12
Mathematics
2 answers:
nikitadnepr [17]3 years ago
5 0
<span>The equation of a circle is (x-a)</span>²+(y-b)²=R²
(x-4)²+(y-0)²=(2√3)²
(x-4)²+y²=12
levacccp [35]3 years ago
5 0

Answer:

Equation of the circle is

(x-4)^2+y^2=12

Step-by-step explanation:

We have been given that

center of the circle = (4,0)

Radius of the circle = 2\sqrt3

The standard form of a circle is given by

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

Here, (h,k) is the center and r is the radius. Thus, we have

h = 4, k = 0, r = 2√(3)

Substituting these values in the above equation, we get

(x-4)^2+(y-0)^2=(2\sqrt3)^2

Simplifying, we get

(x-4)^2+y^2=12

Therefore, equation of the circle is

(x-4)^2+y^2=12

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