Geometry

Question Analysis

This question is about circle arcs. The main focus is using the property that the sum of the measures of arcs that make up a complete circle is 360° to find the measure of a major arc given the measure of a minor arc.

 

Key Concept Explanation

The total measure of the arcs of a circle is 360°. A minor arc is less than 180°, and a major arc is more than 180°. If we know the measure of one arc, we can find the measure of the other arc (the one that, along with the known arc, makes up the whole circle) by subtracting the known arc's measure from 360°.

 

Step - by - Step Solution

1. Recall that the sum of the measures of all arcs in a circle is 360°.

2. We are given that the measure of arc PQ is 44°.

3. Arc PRQ is the major arc that, along with arc PQ, makes up the entire circle.

4. To find the measure of arc PRQ, we subtract the measure of arc PQ from 360°. So,

Click "Show Answer" to reveal the answer and analysis