# Angles and Arcs in a circle

Views:

Category: Entertainment

## Presentation Description

No description available.

By: monteroajlein005 (71 month(s) ago)

## Presentation Transcript

### Arcs and Angles in a circle :

Arcs and Angles in a circle

### Slide 2:

Remember: a circle is made up of 360 degrees. The distance around a circle can be measured in degrees as can the angles formed within a circle. The curved portion between any two points on a circle is an arc.

### Slide 3:

A semicircle is half of a circle. Arc ACB and Arc ADB are semicircles. A semicircle measures 1800. A minor arc is a portion of the circle that is smaller than a semicircle. Arc AB is a minor arc. The degree measure is greater than 0o but less than 180o. A major arc is a portion of the circle that is greater than a semicircle. Arc CBA is a major arc. The degree measure is greater than 180o but less than 360o.

### Slide 4:

An angle with a vertex at the center of the circle is a central angle. <CPB is a central angle. The measure of a central angle and its corresponding arc are equal. If arc CB = 45o then <CPB = 450. An angle with a vertex on the circle is an inscribed angle. <DAB is an inscribed angle. The measure of an inscribed angle is half the measure of the arc formed by its endpoints. If arc BD = 100o then <DAB = 500.