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4 votes
Arc RQ is a

minor arc
major arc
semicircle

Arc RQ is a minor arc major arc semicircle-example-1

2 Answers

4 votes
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Arc RQ is a [minor arc] only because it is less than half the circle, which is 180 [PQ]

** remember that 180° always = half a circle
answered
User Rmoore
by
8.4k points
4 votes

Answer:

A. Arc RQ is a minor arc.

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:


2*\text{Measure of RQ}=360^(\circ)-(2* \text{the measure of arc SR})


2*\text{Measure of RQ}=360^(\circ)-(2* 48^(\circ))


2*\text{Measure of RQ}=360^(\circ)-(96^(\circ))


2*\text{Measure of RQ}=264^(\circ)


\frac{2*\text{Measure of RQ}}{2}=(264^(\circ))/(2)


\text{Measure of RQ}=132^(\circ)

Since the measure of arc RQ is less than 180 degrees, so it is a minor arc and option A is the correct choice.

answered
User Vsasv
by
7.9k points

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