Question

question 11 of 50
what is ( moverarc{bhd} )?
diagram of a circle with center x, tangent line ab at point b, chord bd, and arc bcd marked 120°. multiple choice options: 240°, 60°, 120°

Explanation:

Step1: Recall circle's total degrees

A circle has \( 360^\circ \).

Step2: Identify the given arc

The arc \( \overset{\frown}{BCD} \) (or the smaller arc) is \( 120^\circ \).

Step3: Calculate the major arc \( \overset{\frown}{BHD} \)

Subtract the smaller arc from \( 360^\circ \): \( 360^\circ - 120^\circ = 240^\circ \).

Answer:

\( 240^\circ \)