Understanding Major Arcs | Definition, Properties, and Calculation Methods in Geometry

major arc

In geometry, a major arc refers to the larger of the two possible arcs that can be formed on a circle

In geometry, a major arc refers to the larger of the two possible arcs that can be formed on a circle. It is also known as the long arc. A major arc extends from one endpoint of a minor arc to the other endpoint, passing through the center of the circle.

To better understand major arcs, it is important to understand minor arcs as well. A minor arc is a smaller arc formed between two points on a circle, and it does not pass through the center of the circle. The two endpoints of a minor arc are usually denoted by two letters.

The measure of a major arc is always greater than 180 degrees but less than 360 degrees. This is because a full circle has a measure of 360 degrees and a major arc is a portion of that circle.

To find the measure of a major arc, you can subtract the degree measure of the minor arc from 360 degrees. For example, if a minor arc has a measure of 60 degrees, the corresponding major arc would have a measure of 360 – 60 = 300 degrees.

Major arcs are commonly used in various geometric concepts, such as angles formed by intersecting chords, inscribed angles, and subtended arcs. They play a crucial role in solving problems related to circles and circular geometry.

It is important to note that when working with major arcs, you should be familiar with the properties of circles, arcs, and angles. Understanding the relationships between arcs, central angles, and chords can help you solve problems and accurately calculate measurements in circle-related geometry.

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