Circle Geometry: Properties of Points at Fixed Distances from Center

Question

All ____ about the circle located in the distance ____ from the ____ circle

Step-by-Step Solution

To solve this problem, we will consider the parts of a circle and how they interplay based on the description provided in the incomplete sentence:

  • Step 1: Recognize that the first blank needs a term that refers to the primary element defining a circle externally.
  • Step 2: The second blank needs a term associated with 'equal' as it describes distances from a specific location, hinting at a property of circles.
  • Step 3: The third blank likely wants us to relate this location to the circle itself, denoting the standard geometric reference point.

Now, let's fill in each blank systematically:

The first term 'Point' refers to all points lying on the perimeter of a circle. In the definition of a circle, each point on the circle’s circumference maintains an equal distance from its center.

The second term 'equal' pertains to how all these points are at an equal distance - which is the radius - from the center.

The third term 'center' specifies the reference point within the circle from which every point on the circle is equidistant.

Thus, the complete statement is: "All point about the circle located in the distance equal from the center circle."

The correct choice that completes the sentence is: Point, equal, center.

Answer

Point, equal, center