Properties of Cricles Part 1 Day 17

Day 17 Math Review

Goals/Objectives Identify tangents, secants, and chords. Use properties of tangents to solve problems. Apply properties of arcs. Apply properties of chords. Find the area of sectors. Find arc lengths. Identify tangents, secants, and chords. Use properties of tangents to solve problems. Apply properties of arcs. Apply properties of chords. Find the area of sectors. Find arc lengths.

Vocabulary interior of a circle exterior of a circle chord secant tangent of a circle point of tangency congruent circles concentric circles tangent circles common tangent central angle arc minor arc major arc semicircle adjacent arcs congruent arcs sector of a circle segment of a circle arc length

The interior of a circle is the set of all points inside the circle. The exterior of a circle is the set of all points outside the circle.

A common tangent is a line that is tangent to two circles.

A central angle is an angle whose vertex is the center of a circle. An arc is an unbroken part of a circle consisting of two points called the endpoints and all the points on the circle between them.

Adjacent arcs are arcs of the same circle that intersect at exactly one point. RS and ST are adjacent arcs. Within a circle or congruent circles, congruent arcs are two arcs that have the same measure. In the figure ST  UV.

The area of a sector is a fraction of the circle containing the sector. To find the area of a sector whose central angle measures m°, multiply the area of the circle by

A segment of a circle is a region bounded by an arc and its chord.

In the same way that the area of a sector is a fraction of the area of the circle, the length of an arc is a fraction of the circumference of the circle.

Work Time Complete pages in your workbook Completed, correct pages will be stamped Return to class bin when you are finished

Complete the quiz Show any and all work that you can Circle your answers Turn in before you leave Exit Quiz