G11a106 OBJ SWB introduced to basic terminology of Circles SWBAT find the measures of central angles arcs arc lengths and circumference G11bC WU SOL questions G7GRADED ID: 559165
Download Presentation The PPT/PDF document "Circles" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Circles (G.11a/10.6)
OBJ: SWB introduced to basic terminology of Circles. SWBAT find the measures of central angles, arcs, arc lengths and circumference (G.11b,C)
WU: SOL questions G.7-GRADED!!!!**hw/hw log/wkb p. 271circle foldable/Storybook “Circles”
Homework (
day
53)
:
wkb
p.
271-272 (omit 18, 23-25)
Bring Graph Paper to class!
Pearsonsuccess.net (due
Friday
)Slide2
Practice: Parts of circle
CFEABP
Circle: ______
P
Radius: ____
Diameter: ____
Chord:____
Identify a special chord:____
Secant: ____
Minor Arc: ____
Major Arc: ____
Central Angle: ____
Semicircle: ____
*** Foldable: “Important Parts of a Circle”
Tangent line: _______
Pt of tangency: _____
Sector : ____
Arc: ____
KSlide3Slide4Slide5Slide6Slide7
Geometric figures Can help you find the circumference of a circle
Is the rectangle inscribed or circumscribed in the circle?Find the exact circumference of P.
P12
The diameter
= __________
the exact circumference = _______
the approximate circumference = _______
(to the nearest tenth)
5Slide8
What word refers to the outside of a polygon?What word refers to the distance around a circle?Another way to measure an arc is by its length. Since an
arch is a part of a circle, its length is PART of thecircumference…..called the ARC LENGTHFind the length of XY. Leave your answer in term of π.16 in
Circle Foldable: “Central Angle”Slide9Slide10
Thm: In the same or congruent circles, two arcs are congruent iff their corresponding angles are congruent.
Adjacent Arcs: two arcs in the same circle that have exactly one point in common.***You can add the measures of adjacent arc just like you add the measures of adjacent angles.Arc Addition Postulate: mABC = mAB + mBCSlide11
ARC: Is a part of a circle A) SEMI – CIRCLE (Half a circle) = 180°
TRS is a semi-circle mTRS is 180°B) MINOR ARC: shorter than a semi-circle RS is a minor arc mRS = m∠RPS
60°60°**** The measure of a minor arc = the measure of its central angle.
C) Major Arc: Larger than a semi-circle
RTS is a major arc
mRTS
= 360 –
mRS
***The measure of a major arc is: 360 – the measure of its related minor arc.Slide12
Definitions
Radius: is a segment w/one endpoint at the center of the circle and the other endpoint on the circle. (All radii of a circle are congruent)Chords: are segments that have both their endpoints on the circle. (from one side of the circle to the other.)Diameter: a chord that goes through the center of a circle.