Answer:
Hence, the length of radius is:
[tex]\sqrt{26}[/tex] units.
Step-by-step explanation:
The center of circle is at: 2+3i.
Hence, the coordinate of the center is: (2,3)
The point on the circle is: 7+2i
Hence, the coordinate of the point is: (7,2).
The radius of the circle is the distance between the center of the circle and the point on the circle.
We know that the distance between two points (a,b) and (c,d) is given by:
[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
We have (a,b)=(2,3) and (c,d)=(7,2).
Hence, the distance between the two points is:
[tex]\sqrt{(7-2)^2+(2-3)^2}=\sqrt{(5)^2+(-1)^2}\\\\\\=\sqrt{25+1}\\\\=\sqrt{26}[/tex]
Hence, the length of radius is:
[tex]\sqrt{26}[/tex] units.
