Amy and Fraser walk inside a circular lawn. Point O is the center of the lawn, as shown below: A circle is shown with its center at O. A, B, and C are points o

Question

Amy and Fraser walk inside a circular lawn. Point O is the center of the lawn, as shown below:

A circle is shown with its center at O. A, B, and C are points on the circumference of the circle. A straight line joins points O and A. Another straight line is drawn through point O and joins points C and B.

Amy walks from point B to point C along the segment BC. Fraser walks from point O to point A along the segment OA. Which statement is correct?

Both Amy and Fraser walk distances equal to the diameter of the lawn.
Amy walks a distance equal to the radius, and Fraser walks a distance equal to the diameter of the lawn.
Both Amy and Fraser walk distances equal to the radius of the lawn.
Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn.

Answer 1

Ok. So, since O is the center point and A is a point along the circumference of the circle, then segment OA is the radius.

Since B and C are connected by a straight line which goes through the center (O), then segment BC is the diameter of the circle.

Therefore, Amy walks a distance equal to the diameter and Fraser walks a distance equal to the radius.