The arc formed by the central angle ∠RQT is RT. The correct option is option B.
Given: The central angle ∠RQT
To find: The arc formed by the given central angle
A central angle of a circle is an angle formed by any two radii of the circle. These radii each intersect the circle on a point, and the portion of that circle between the two points is called an arc.
As can be seen from the given figure, Q is the center of the circle and RQ and QT are radii of the circle. Clearly, the central angle ∠RQT is formed by the radii RQ and QT.
The points where these radii intersect the circle are R and T respectively. Then, the portion of the circle between R and T is the required arc.
However, this portion can be taken in two ways; the bigger portion between them (found by moving anti-clockwise from R towards T) and the smaller portion between them (found by moving clockwise from R towards T). These are called the major arc and the minor arc between R and T respectively.
Since it is not explicitly mentioned which arc is required, we will tacitly assume that the minor arc is required.
The minor arc between R and T is named by their end points, that is, as RT.
While not required, it should be noted that the major arc between R and T should be named by their end points and a point between them on the arc (for example RVT or RUT)
Thus, the arc formed by the central angle ∠RQT is RT.
Learn more about central angles and arcs here:
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