Write an equation of a circle with the given center and radius.center (4, 5), radius 7
2 answers
Question:
Write an equation of a circle with the given center and radius.center (4, 5), radius 7
Answers
To solve this, we are going to use the center-radius form of a circle equation: [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]where[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radius of the circleSince the center of our circle is [tex](4,5)[/tex], [tex]h=4[/tex] and [tex]k=5[/tex]. We also now that its radius is 7, so [tex]r=7[/tex]. Lets replace those values in our equation:[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex][tex](x-4)^{2}+(y-5)^{2}=7^{2}[/tex]We can conclude that the equation of a circle with center at the point (4,5) and radius 7, is [tex](x-4)^{2}+(y-5)^{2}=7^{2}[/tex]
Quadratic relations and comic sections unit test part 16. b. (x-4)^2 + (y-5)^2 = 49
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