Answer:
Length of the radius of a circle = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
a circle with a center at 2 + 3i and a point on the circle at 7 + 2i
To find the length of the radius, find the distance between the center and a point on the circle
center is 2+3i that is (2,3)
point is 7+2i that is (7,2)
distance formula is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the values in the formula
Distance=[tex]\sqrt{(7-2)^2+(2-3)^2}[/tex]
Distance=[tex]\sqrt{(5)^2+(-1)^2}[/tex]
Distance=[tex]\sqrt{(26}[/tex]
Length of the radius of a circle = [tex]\sqrt{26}[/tex]
