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

Both Amy and Fraser walk distances equal to the radius of the lawn.

Explanation:

took the quiz

Answer 2

see attachment

remember; radius=distance from circle to center
diameter=2 times radius, or from one point through the center and to the other point on the other side (like BOC)

amy walks the diameter or 2 of the radius
fraser walks only 1 radius

so they don't walk equal distances

amy walks a diameter, not a radius, fraser walks the radius not the diameter

amy doesnt walk a radius


amy does walk a distance equal to diameter and fraser walks the radius



answer is the last option: "Amy walks a distance equal to the diameter, and Fraser walks a distance equal to the radius of the lawn. "