Name the radii of the circle shown with O as the center.

Question

Upper OUpper PUpper YUpper L

A circle has center O and passes through the following points in clockwise order from the left: Upper P, Upper Y, Upper L. The following line segments are shown: PY overbar, YL overbar, PL overbar, PO overbar, YO overbar, LO overbar.
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Question content area right
Part 1
What are the radii of the​ circle?
A.PL overbar comma YO overbar comma and YP overbar
PL overbar comma YO overbar comma and YP overbar
B.PO overbar comma YO overbar comma and LO overbar
PO overbar comma YO overbar comma and LO overbar
C.PO overbar comma YL overbar comma and LP overbar
PO overbar comma YL overbar comma and LP overbar
D.PY overbar comma YL overbar comma and LP overbar
PY overbar comma YL overbar comma and LP overbar

Answer 1

To determine the radii of the circle with center O and passing through points P, Y, and L, we need to understand that the radius of a circle is defined as the distance from the center of the circle to any point on the circle.

Given that O is the center of the circle and the points P, Y, and L are all points on the circumference, the radii of the circle would be the segments from O to each of these points:

• OP (denoted as PO overbar)
• OY (denoted as YO overbar)
• OL (denoted as LO overbar)

From the options provided, the correct set of radii is option B:

B. PO overbar, YO overbar, and LO overbar.