What is the equation of the circle with a center at $(5 ,7 )$ and a radius of $6$ ?

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Answer 1 · 2018-03-14T17:51:26

See a solution process below:

The equation for a circle is:

$(x - color(red)(a))^2 + (y - color(red)(b))^2 = color(blue)(r)^2$

Where $(color(red)(a), color(red)(b))$ is the center of the circle and $color(blue)(r)$ is the radius of the circle.

Substituting the values from the problem gives:

$(x - color(red)(5))^2 + (y - color(red)(7))^2 = color(blue)(6)^2$

$(x - color(red)(5))^2 + (y - color(red)(7))^2 = color(blue)(36)$

What is the equation of the circle with a center at (5 ,7 )(5 ,7 ) and a radius of 6 6 ?