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GRE
GRE Quantitative Reasoning Section

Distance Between Point Inside Circle and Point on Circumference

Very Hard Geometry Circles

In a circle with a radius of 8 units, a point W is located at a distance of 6 units from the center of the circle. Another point V is on the circumference of the circle. We want to determine the distance from point W to point V.

To solve this problem, we can apply the following concepts:

  1. Use the Pythagorean theorem to delineate the distances within the circle.
  2. Recall that the radius of the circle is constant.
  3. Remember that the maximum distance between two points in a circle occurs when one point is on the circumference and the other point is at the center.

With this information, consider the possible scenarios for the distances involved, applying the properties of circles and triangles.

Hint

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