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Aleksandr [31]
4 years ago
12

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

the circle is labeled O. Points A and B are on the circumference of the circle. A straight line passes though O and joins points A and B. Amy walks from point O to point A along the segment OA. Fraser walks from point O to point B along the segment OB. Which statement is correct? 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. 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 diameter of the lawn.

Mathematics
2 answers:
Assoli18 [71]4 years ago
6 0

Answer:

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

Step-by-step explanation:

The radius of a circle is a line segment from the center to the outside edge (circumference).

Amy walks from O, the center, to A, along the outside edge, using segment OA.  This is a radius of the circle.

Fraser walks from O, the center, to B, along the outside edge, using segment OB.  This is a radius of the circle.  

Thus the correct answer is that both Amy and Fraser walk distances equal to the radius of the lawn.

dmitriy555 [2]4 years ago
3 0

Answer:

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

Step-by-step explanation:

If we carefully consider the question and the answer choices, it would be reasonable to say that the answer is A. Amy and Fraser do not walk distances equal to the diameter, so that crosses out options B and C automatically. Option D is also incorrect because in this scenario, they both started at the center of the lawn, which is Point O. They walk distances equal to the radius to get to their destination, Points A and B. If they had both started at Point A and stopped at Point B, then option D would make sense. But this is not the case, so your answer is D. (Also, please be sure that this answer matches your question because there are variations to this problem.)

Hope this helps :)

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