Respuesta :
Answer:
(x - 3)² + (y - 8)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (3, 8) and r = 2
(x - 3)² + (y - 8)² = 4 ← equation of circle
The equation of a circle with center (3, 8) and radius 2 will be given as
[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].
Equation of circle is given as,
[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]
where,
(a,b) are the coordinates of the center of the circle in form (x, y),
r is the radius of the circle.
Now, the equation of a circle with center (3, 8) and radius 2.
Given to us,
a = 3,
b = 8,
r = 2.
substituting the values,
[tex]( x -a )^2 + ( y -b )^2 = r^2[/tex]
[tex]( x -3 )^2 + ( y -8 )^2 = 2^2[/tex]
[tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex]
Hence, the equation of a circle with center (3, 8) and radius 2 will be given as [tex]( x -3 )^2 + ( y -8 )^2 = 4[/tex].
Learn more about circles:
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