Answer:
Step-by-step explanation:
let :
ZA = -7 +2i and ZB = 33 +11 i
the radius of a circle is AB = / ZB - ZB / = / 33+11i +7 - 2i /
AB = / 40 +9i / = √(40² + 9²) = √1681 = 41 unit
The length of the radius of a circle is 41 units.
Given that,
The center is at -7+2i and a point in the circle at 33+11i.
We have to determine,
The length of the radius of a circle.
According to the question,
The radius of the circle is given by the following formula;
[tex]\rm Radius \ of \ the \ circle =\sqrt{ x^2+y^2}[/tex]
Then,
The center is at -7+2i and a point in the circle at 33+11i.
[tex]\rm x(33-(-7)), \ y(2i-11i)\\\\ x(33+7), \ y(-9i)\\\\ x(40), \ y(-9(-1))\\\\ x(33+7), \ y(9)\\[/tex]
Therefore,
The length of the radius of a circle is,
[tex]\rm Radius = \sqrt{x^2+y^2}\\\\Radius = \sqrt{40^2+9^2}\\\\Radius = \sqrt{1600+81}\\\\Radius = \sqrt{1681}\\\\Radius = 41 \ unit\\[/tex]
Hence, The length of the radius of a circle is 41 units.
To know more about Circles click the link given below.
https://brainly.com/question/11833983
