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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

2. Measuring Angles and Arcs

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Exercise 62 Page 731

Notice that two points on a circle divide it into two arcs. Consider the different options for these arcs.

See solution.

Practice makes perfect

Let's consider a circle.

On this circle we can have three different types of arcs.

The minor arc, which is the shortest arc connecting two endpoints on the circle. Its measure is less than 180^(∘) and equal to the measure of its related central angle.

The major arc, which is the longest arc connecting two endpoints on the circle. Its measure is greater than 180^(∘) and equal to 360^(∘) minus the measure of the corresponding minor arc.

A semicircle, which is an arc with endpoints that lie on a diameter. Its measure is equal to 180^(∘).

Subchapter links

Exercises p.728-732