Chapter 10 Circles Geometry - Mrs. Rushing's Website

[Pages:22]Chapter 10 ? Circles Geometry

Hour ______

Student Name

I can... Identify and use parts of a circle.

Solve problems involving the circumference of a circle.

10-1 Circles and Circumference Circle ? a set of points equidistant from a single point. Parts of a Circle ? label diagram with each part. Center Of A Circle

Chord

Radius

G

Diameter

Secant

Tangent

Example 10-1-1: Identify Segments in a Circle

A. Name the circle, and identify a radius and a chord.

Chord

Radius

B. Identify a chord, a radius and a diameter of the circle.

Chord

Radius

Diameter

2

Example 10-1-2: Find Radius and Diameter If RT = 21 cm, what is the length of ?

Example 10-1-3: Find Measures in Intersecting Circles The diameter of X is 22 units, the diameter of Y is 16 units, and WZ = 5 units. Find XY.

Example 10-1-4: Real World The Unisphere is a giant steel globe that sits in Flushing Meadows-Corona Park in Queens, New York. It has a diameter of 120 feet. Find its circumference. 3

Example 10-1-5: Find Diameter and Radius

Find the diameter and the radius of a circle to the nearest hundredth if the circumference of the circle is 65.4 feet.

= ____________

=____________

Example 10-1-6: Circumference of Circumscribed Polygon Find the exact circumference of K.

Summarize the Lesson: 4

I can... Identify central angles, major arcs, minor arcs, and semicircles, and find their measures.

Find arc lengths.

10-2 Measuring Angles and Arcs

Example 10-2-1: Find Measures of Central Angles Find the value of x.

Example 10-2-2: Classify Arcs and Find Arc Measures A. is a radius of C. Identify as a major arc, minor arc, or semicircle. Then find its measure.

B. is a radius of C. Identify as a major arc, minor arc, or semicircle. Then find its measure.

5

Example 10-2-2: Classify Arcs and Find Arc Measures C. is a radius of C. Identify as a major arc, minor arc, or semicircle. Then find its measure.

Example 10-2-3: Find Arc Measures in Circle Graphs A. Find the measure of .

B. Find the measure of .

Example 10-2-4: Use Arc Addition to Find Measures of Arcs A. Find in M. B. Find in M.

6

Example 10-2-5: Find Arc Length A. Find the length of . Round to the nearest hundredth. B. Find the length of . Round to the nearest hundredth. C. Find the length of . Round to the nearest hundredth.

7

I can... Recognize and use relationships between arcs and chords.

10-3 Arcs and Chords

Recognize and use relationships between arcs, chords, and diameters.

Example 10-3-1: Use Congruent Chords to Find Arc Measure

A circular piece of jade is hung from a chain by two wires around the stone. and = 90. Find .

Example 10-3-2: Use Congruent Arcs to Find Chord Lengths In the figure, and . Find .

8

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download