This is a segment that has endpoint on the center of the circle and the circumference.
Radius
What are both of the formulas for circumference?
C = 2*pi*r
C = pi*d
True or False: A central angle is equal to it's intercepted arc's measure.
True!
Write an equation: Center: (4,5) Radius = 3
(x - 4)2 + (y - 5)2 = 9
Can someone please tell me the difference between arc measure & arc length?!
Arc measure is in DEGREES. Arc length is in units (cm, in, yd... depends on the radius.) You need a formula to solve for arc length.
This is the location at which the tangent line intersects the circle.
Point of Tangency
In terms of pi... What is the circumference of a circle whose radius is 8?
16 pi
What's the relationship between an inscribed angle and it's intercepted arc?
Inscribed angle is HALF the arc measure.
Write an equation: Center (-3, 8) Radius = 13
(x + 3)2 + (y - 8)2 = 169
How can we tell if a tangent line is perpendicular to a radius?
Pythag
You use this point to name a circle.
Center
In terms of pi... What is the area of a circle whose radius is 9?
81 pi
In an inscribed quadrilateral, opposite angles are ___________.
Supplementary
Write an equation: Center (9, 0) Radius =
sqrt 75
(x - 9)2 + y2 = 75
Do the following sides form a right triangle?
13.2 in, 15.2 in, 20.5 in
No... if you type it into your calculator it will come out as false!
True or False: A diameter is a chord.
True
In terms of pi... What is the area of a circle whose diameter is 20?
100 pi
If two inscribed angles share the same intercepted arc, then those two angles are ____________.
Congruent
Write an equation: Center (0, 0) Diameter = 18
x2 + y2 = 81
If tangents meet at an external point, then those line segments are __________.
Congruent!
Recall four parts of a circle that you can name with three letters.
Semicircle, major arc, central angle, & inscribed angle.
Might need calculator or scrap paper.
A circle's circumference is 56 in. What is it's area? Must say answer with correct units.
About 249.682 in^2
What is the measure of arc RQ?
54 degrees
Write an equation: Center: (-5, 7) Point on circle: (-2, 9)
(x + 5)2 + (y - 7)2 = 13
Calculate the LENGTH of the orange arc. You must say your answer in correct units.
About 5.23 yd