Question

the measure of bac is 240. what is the ratio of the measure of the major arc to the measure of the minor arc? 3:1 1:3 2:1 1:2

Explanation:

Step1: Find measure of minor arc

The sum of the measures of a major arc and a minor arc of a circle is 360 degrees. Given the measure of major arc $\widehat{BAC}=240$ degrees. Let the measure of the minor arc be $x$. Then $x + 240=360$, so $x=360 - 240=120$ degrees.

Step2: Calculate the ratio

The ratio of the measure of the major arc to the measure of the minor arc is $\frac{240}{120}=\frac{2}{1}$.

Answer:

C. 2:1