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10.1 Circles and circumferences 10.1 Circles and circumferences

10.1 Circles and circumferences - PowerPoint Presentation

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10.1 Circles and circumferences - PPT Presentation

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 ID: 239090

radius circle circles chord circle radius chord circles circumference center find examples practice diameter polygon congruent endpoints diameters units

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Slide1

10.1 Circles and circumferences

Ms. AndrejkoSlide2

Vocabulary

Radius- a segment with endpoints at the center and on the circleChord- 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 circleSlide3

Diameter (chord)

chord

radius

centerSlide4

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 centerSlide5

Even More vocabulary

A polygon is inscribed in a circle if all of its vertices lie on the circleA circle is

circumscribed

about a polygon if it contains all vertices of the polygon

Circumference:

C =

π

dSlide6

Examples

Name the circle. Name a radius.

Name a chord.Slide7

Practice

Name the circle. Name a radius.

Name a chord.Slide8

Examples

The diameters of circle L and circle M are 20 and 13 units, respectively, and QR = 4.4. LQ=

5. RM=Slide9

Practice

The diameters of ⊙F and ⊙G are 5 and 6 units, respectively. Find each measure.4. BF=

5. AB=Slide10

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 mSlide11

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 mSlide12

Examples

Find the circumference:

9.

10.Slide13

Practice

Find the circumference:

9.

10.