the complete question is
Amy and Fraser walk inside a circular lawn. Point B is the center of the lawn, as shown below: A circle is drawn. The center of the circle is labeled B. Points A and C are on the circumference of the circle. A straight line passes though B and joins points A and C. Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which statement is correct?
A) Both Amy and Fraser walk distances equal to the diameter of the lawn.
B) Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.
C) Both Amy and Fraser walk distances equal to the radius of the lawn.
D) Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.
the picture in the attached figure
we know that
if a straight line passes though B and joins points A and C
then
AC is the diameter of the circle
and
AB=BC------> is the radius of the circle
so
Amy walks from point A to point B along the segment AB
that means that Amy walks the radius
Fraser walks from point A to point C along the segment AC
that means that Fraser walks the diameter
therefore
the answer is
the option
B) Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.
