When a shape is rotated, it must be rotated through a point.
<em>The radius of the circle is: 4</em>
The location of point F is:
When the shape is rotated counterclockwise, the rule is:
So, the location of point F' is:
The center of the circle is given as:
The radius of the circle is the distance from the center to point F or F'
This is calculated using the following distance formula
The distance from O to F is:
Take square roots
Radius cannot be negative.
So:
Hence, the radius of the circle is (b) 4
Read more about rotation at:
brainly.com/question/1571997