Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]
Option (C) is correct
What is a circle?
"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."
What is center of a circle?
"The center of a circle is the point which is equidistant from all points on the circle."
What is the radius of circle?
"The constant distance between the center and any point of the circle is called its radius."
We have,
Center (h, k) = (6,-1)
Radius r = 7.4
We know,
Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values of h, k, r in standard equation of circle
[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]
⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]
Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]
∴ Option (C) is correct
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