Question

Consider the following circle with center at point O.

Circle O with points R, U, S and T on the circle. Segments SR and TU pass through point O. Segment RT is also shown in the diagram.


Identify one radii, one diameter, and one chord of the circle. Justify your answers.

Answer 1

The radius of the circle are OR, OT, OS and OU.

The diagram, the diameter of the circle are TU and RS.

The chord of the circle is TR.

Given:

Given that the circle O has the points R, U, S, and T on it. Point O is traversed by segments SR and TU. The diagram also includes segment RT.

We must determine the circle's radii, diameter, and chord.

The circle's radii are as follows:

A circle's radius is the line that connects the circle's center to its perimeter.

The radius of the circle is represented by the letters OR, OT, OS, and OU in the diagram.

Circle circumference:

The diameter of a circle is the straight line that runs through its center and has its ends on the circle.

As a result of the diagram, the circle's diameters are TU and RS.

The circle's chord is:

A circle chord is a straight line with endpoints on the circle.

As a result of the diagram, the circle's chord is TR.

Answer 2

Given:

Given that the circle O with points R, U, S and T on the circle. Segments SR and TU pass through point O. Segment RT is also shown in the diagram.

We need to determine the radii, diameter and chord of the circle.

Radii of the circle:

A radius of a circle is line from the center of the circle to the circumference of the circle.

From the diagram, the radius of the circle are OR, OT, OS and OU.

Diameter of the circle:

The diameter of the circle is the straight line that passes through the center of the circle and its endpoints lie on the circle.

Thus, from the diagram, the diameter of the circle are TU and RS.

Chord of the circle:

A chord of the circle is a straight line whose endpoints lie on the circle.

Thus, from the figure, the chord of the circle is TR.