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Answer:
Circumference is about 182.21
Step-by-step explanation:
Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 29. Plug 29 into the formula 2(pi)r to find the Circumference. The answer is 182.21
The equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].
The equation of the circle is given by;
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]
Where r is the radius and h and k are the centre of the circel.
The radius of the circle is;
[tex]r=\sqrt{(23-3)^2+(19-(-2))^2} \\\\r=\sqrt{(20)^2+(21)^2} \\\\r=\sqrt{400+441}\\\\r =\sqrt{841}\\\\r=29[/tex]
The equation of the circle is;
[tex]\rm (x-h)^2+(y-k)^2=r^2\\\\\rm (x-3)^2+(y-(-2))^2=29^2\\\\ (x-3)^2+(y+2)^2=29^2[/tex]
Hence, the equation of the circle is [tex]\rm(x-3)^2+(y+2)^2=29^2[/tex].
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