Circles
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Transcript of Circles
A circle is named by its center point.
PName:
Diameters, radii, and chords are all segments,lines, or rays.
Definition – the locus of all points in a plane equidistant from a given point
Examples: Identify each part of the circle below.
Name the circle.
Name a radius of the circle.
Name a chord of the circle.
Name a diameter of the circle
E
, , ,AE BE EC or ED
, , ,AB AC AD or BD
AC or BD
STQMExamples: Circle R has diameters and .
If PR = 11, find RT.
If ST = 18, find QM.
If RN = 2, find QM.
18
4
11
Example: The diameters of X, Y, and Z are 22 millimeters, 16 millimeters, and 10 millimeters, respectively. Find EZ.
Examples: Find each measure to the nearest hundredth.
Find d and r to the nearest hundredth if C = 65.4 feet.
Find C if r = 13 inches.
Find C if d = 6 millimeters.
Minor Arc
Major Arc
Naming Arcs
2 endpoints and an arc symbol
,DE ,EG ,GF ,FD DG
2 endpoints, 1 interior point, and
an arc symbol
DEF ,or DGFEGD ,or EFD
GFDFDG ,or FEG
Examples: In JM KN
PL OP KN
mOK
mLM
mJKO
P, and are diameters, NPM = 46, bisects
and . Find each measure.m KPM,
= 90
= 67
= 316
Type of Bicycle %Comfort 21
Mountain 37Youth 26Hybrid 9Other 7
Example: The table below shows the percent of each type of bicycle sold in the United States in 2001.
Describe the kind of arc associated with each category.
Find the measure of the central angle representing each category.
75.6º133.2º93.6º32.4º25.2º