The central angle ∠RVT measures 92°. What is the measure of arc RT?*1 pointA. 46°B. 92°C. 184°D. 268°
Question
The central angle measures 92°. What is the measure of arc RT?
1 point
- A. 46°
- B. 92°
- C. 184°
- D. 268°
Solution
Break Down the Problem
- Identify that the measure of the arc RT is directly related to the measure of the central angle ∠RVT.
- Recall that the measure of an arc in a circle is equal to the measure of its corresponding central angle.
Relevant Concepts
- The measure of an arc (in degrees) is equal to the measure of the central angle that subtends it.
- Hence, if the central angle ∠RVT is given, the measure of arc RT will be the same.
Analysis and Detail
- Given that ∠RVT = 92°, we can determine the measure of arc RT.
- According to the property mentioned above, arc RT also measures 92° because they are subtended by the same central angle.
Verify and Summarize
- Since both the central angle and the arc share the same degree measure, the calculation reaffirms that arc RT is definitively 92°.
Final Answer
The measure of arc RT is B. 92°.
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