Answer:
A. Arc RQ is a minor arc.
Step-by-step explanation:
We have been given an image of a circle and we are asked to determine the type of arc RQ.
We can see from our given diagram that arc SR and arc PQ are corresponding arcs, so the measure of arc SR will be equal to measure of arc PQ.
Similarly, arc RQ and PS are corresponding arc. So we can find the measure of arc RQ as:
[tex]2\times\text{Measure of RQ}=360^{\circ}-(2\times \text{the measure of arc SR})[/tex]
[tex]2\times\text{Measure of RQ}=360^{\circ}-(2\times 48^{\circ})[/tex]
[tex]2\times\text{Measure of RQ}=360^{\circ}-(96^{\circ})[/tex]
[tex]2\times\text{Measure of RQ}=264^{\circ}[/tex]
[tex]\frac{2\times\text{Measure of RQ}}{2}=\frac{264^{\circ}}{2}[/tex]
[tex]\text{Measure of RQ}=132^{\circ}[/tex]
Since the measure of arc RQ is less than 180 degrees, so it is a minor arc and option A is the correct choice.
