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Circle Note cards. Are you ready? We heard you were going to make a few note cards - and then there might be a short quiz. Have fun!!. White note card. circle. The set of all points in a plane that are equidistant from a given point. chords. diameter. Named by its center: О D. D.
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Circle Note cards
Are you ready? We heard you were going to make a few note cards - and then there might be a short quiz. Have fun!!
White note card circle The set of all points in a plane that are equidistant from a given point chords diameter Named by its center: ОD D center radius
Colored Note card Circle formulas Circumference: 2r Area: r² Arc - part of a circle Arc measure: a) degrees: equal to the measure of the central angle b) length: central angle arc length 360° circumference Central angle Major arc Minor arc =
You’re right! Everyone take out a piece of paper! Hey, how about a quiz? That would be fun!
QUIZ • Draw circle E. Draw and label a radius, diameter, • and a chord that is not a diameter. • Find the exact circumference and area of circle Q. • Name a minor arc in the circle. • Name a major arc in the circle. • Find the arc length of BC. C 14 cm 95° Q B A
Guess what!?! There is even more stuff to learn about circles!
Colored note card Angles in circles • Central angle • vertex is center of circle • sides are radii • measure is equal to arc • Inscribed angle • vertex is on circle • sides are chords • measure is half • the arc 85° 86° 85° 43°
160° Try these! Find x. 110° x° x° x° x° 56° 36°
Colored note card Diameters and chords diameter to chord – diameter bisects chord and arc congruent chords = congruent arcs congruent chords are equidistant from center
Find x and y. 12 8 6 x 3 Find the radius. y How about these? Math is good stuff!
One more problem! Find the arc length of the minor arc. Think about the measure of the arc. It’s not 43°! 86° central angle arc length 360° circumference = 4 cm 86° 86 360 X 2 • • 4 = 43° or 3.14? X 1.91 6 Nice job! Circumference: 2r
Some with factoring? More problems to do, there are, young Padawan. Factoring in two. Fun in all of them.
More to learn, there is, young Padawan. Tangents and secants to study, you must. Secants and tangents? Secants and tangents.