8.1 Circle Terminology and Chord Properties This section will introduce you to some of the most...
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8.1 Circle Terminology and Chord Properties This section will introduce you to some of the most important aspects of circle geometry Radius Diameter Tangent Chord
8.1 Circle Terminology and Chord Properties This section will introduce you to some of the most important aspects of circle geometry Radius Diameter Tangent
8.1 Circle Terminology and Chord Properties This section will
introduce you to some of the most important aspects of circle
geometry Radius Diameter Tangent Chord
Slide 3
Circumference The perimeter of a circle Radius A segment
connecting the center of a circle with a point on the circle
Diameter A segment that goes through the center of the circle and
connects to two points on the outside of the circle Chord A segment
whose end points are on the circle Tangent A line that intersects
the circle on exactly one point
Slide 4
The sum of the interior angles of a triangle is 180 The number
of degrees in a circle is 360 Circumference = d = 2r Area of a
circle = r 2 Pythagorean Theorem states that the sum of the squares
of the legs of a right triangle is equal to the square of its
hypotenuse a 2 + b 2 = c 2 180 360 a c b
Slide 5
Formulas in Action Example 1: Find angle B Solution 1: -ABC is
isoceles, so B = C -A + B + C = 180 -50 + B + B = 180 -2(B) = 130
-B = 65 A BC 50 C B A 12 5
Slide 6
Some Important Chord Properties The Diameter perpendicular to a
chord bisects the chord and its arc If AB CD, then CE = ED The
perpendicular bisector of a chord passes through the center of the
circle If AB CD and AE = EB, then CD passes through the center of
the circle A E B DC A B C D E
