Question

value: 1
find the measure of the arc.
110°
?
a. 110°
b. 55°
c. 70°
d. 250°

Explanation:

Step1: Recall arc - central angle relationship

The measure of an arc of a circle is equal to the measure of its central angle when the arc is a minor arc. The sum of the measures of a major arc and its corresponding minor arc is 360°.

Step2: Identify the given central angle

The given central angle is 110°. The arc in question is the major arc corresponding to the 110° minor - arc.

Step3: Calculate the measure of the major arc

Let the measure of the major arc be \(x\). We know that \(x + 110^{\circ}=360^{\circ}\). Solving for \(x\), we get \(x = 360^{\circ}-110^{\circ}=250^{\circ}\).

Answer:

d. 250°