Given a circle with center $H$ and an arc $EF$ in standard position, what is the measure of arc $EF$ if the central angle is $114°$?

• A. $173°$
• B. $114°$
• C. $41°$
• D. $50°$

Answer: (B)

Verified step by step guidance

1. Recall that the measure of an arc intercepted by a central angle in a circle is equal to the measure of that central angle.
2. Identify the given central angle measure, which is \(114^\circ\) in this problem.
3. Understand that the arc \(EF\) is the arc intercepted by the central angle at the center \(H\).
4. Apply the property that the measure of arc \(EF\) is equal to the measure of the central angle \(\angle EHF\).
5. Conclude that the measure of arc \(EF\) is \(114^\circ\) without needing further calculations.