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LuckyWell [14K]
3 years ago
7

Given Q below, is YQR a minor arc, a major arc, or a semicircle?

Mathematics
2 answers:
PIT_PIT [208]3 years ago
7 0

Answer:

B. Major arc.

Step-by-step explanation:

We have been given diagram of circle Q. We are asked to determine whether YQR is a minor arc, a major arc, or a semicircle.

Upon looking at our given circle, we can see that major of arc RY is 150 degrees.

We also know that major of all arcs is a circle is equal to 360 degrees. So we can set an equation as:

\widehat{YQR}+\widehat{RY}=360^{\circ}

Upon substituting measure of arc RY, we will get:

\widehat{YQR}+150^{\circ}=360^{\circ}

\widehat{YQR}+150^{\circ}-150^{\circ}=360^{\circ}-150^{\circ}

\widehat{YQR}=210^{\circ}

Since measure of arc is YQR is greater than 180 degree, therefore, arc YQR is a major arc.

zmey [24]3 years ago
6 0
Major arc, because it's bigger than a semicircle
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