10.1 circles and circumferences
DESCRIPTION
10.1 Circles and circumferences . Ms. Andrejko. Vocabulary. Radius- a segment with endpoints at the center and on the circle Chord- segment with both endpoints on the circle Diameter- chord that passes through the center and has endpoints on the circle - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/1.jpg)
10.1 CIRCLES AND CIRCUMFERENCES Ms. Andrejko
![Page 2: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/2.jpg)
VOCABULARY Radius- a segment with endpoints at the
center and on the circle Chord- segment with both endpoints on the
circle Diameter- chord that passes through the
center and has endpoints on the circle Circle- the set of all points in a plane
equidistant from a given point called the center of a circle
![Page 3: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/3.jpg)
Diameter (chord)
chord
radi
us center
![Page 4: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/4.jpg)
MORE VOCAB…. Congruent circles- two circles are
congruent circles if and only if they have congruent radii
Concentric circles- coplanar circles that have the same center
![Page 5: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/5.jpg)
EVEN MORE VOCABULARY A polygon is inscribed in a circle if all of its
vertices lie on the circle A circle is circumscribed about a polygon if
it contains all vertices of the polygon
Circumference:
C = πd
![Page 6: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/6.jpg)
EXAMPLES
1. Name the circle.
2. Name a radius.
3. Name a chord.
![Page 7: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/7.jpg)
PRACTICE
1. Name the circle.
2. Name a radius.
3. Name a chord.
![Page 8: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/8.jpg)
EXAMPLES The diameters of circle L and circle M are 20
and 13 units, respectively, and QR = 4.
4. LQ=
5. RM=
![Page 9: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/9.jpg)
PRACTICE The diameters of ⊙F and ⊙G are 5 and 6
units, respectively. Find each measure. 4. BF=
5. AB=
![Page 10: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/10.jpg)
EXAMPLES Find the diameter, radius, and circumference
of a circle with the given information. 6. r = 21 ft
7. d = 18 cm
8. C = 6π m
![Page 11: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/11.jpg)
PRACTICE Find the diameter, radius, and circumference
of a circle with the given information. 6. r = 17 ft
7. d = 26 cm
8. C = 22π m
![Page 12: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/12.jpg)
EXAMPLES Find the circumference:
9. 10.
![Page 13: 10.1 Circles and circumferences](https://reader036.vdocuments.net/reader036/viewer/2022081507/56815eed550346895dcda7b1/html5/thumbnails/13.jpg)
PRACTICE Find the circumference:
9. 10.