Question

given ⊙q below, is widehat{yor} a minor arc, a major arc, or a semicircle? a. minor arc b. semicircle c. major arc

Explanation:

Step1: Recall arc definitions

A minor arc is less than $180^\circ$, semicircle is $180^\circ$, major arc is greater than $180^\circ$.

Step2: Calculate arc $\widehat{YOR}$ measure

The central angle for $\widehat{YR}$ is $150^\circ$. The total circle is $360^\circ$, so $\widehat{YOR} = 360^\circ - 150^\circ = 210^\circ$.

Step3: Classify the arc

$210^\circ > 180^\circ$, so it is a major arc.

Answer:

C. Major arc