Circumference
What is the definition of the circumference(of a circle)?
The circumference of a circle is the perimeter of a circle.
Name 4 parts of a circle.
Answers May Vary
(ex. Radius, Diameter, Arc, Chord)
What is the standard form of the equation of a circle?
(x-h)^2 + (y-k)^2 = r^2
An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.
The radius is ____ of a diameter.
The radius is half of the diameter.
What is the formula to find the circumference of a circle?
C = 2πr (two times pi times radius)
What is the formula used to find the arc length of a circle?
2πr x central angle measure/360
What does the (k,h) stand for in an equation of a circle?
It stands for the coordinate of the center of the circle.
m∠ABC = 1/2 AC
If 5 is the radius, ___ is the diameter.
If 5 is the radius, 10 is the diameter.
What is the circumference of a circle that has a diameter of 10?
31.4
Can a chord be a diameter?
Yes
What does the (x,y) stand for in the equation of a circle?
It is one of the coordinates located on the perimeter of a circle.
If angle ABC is an inscribed angle and arc AO was 47, find angle ABC.
angle ABC = 23.5 degrees
What is an arc length?
The distance between two points located on the curve of a circle.
What is the circumference of a circle with a radius of 7 and another circle with a radius of 12 combined? (added together). Anything within 1 is fine
Approximately 81.68
True or False
Is a Radius of a circle and also a Chord.
False
A circle has its center at (7,14). If the point (7,34) lies on the circle, what is the equation of the circle?
(x-7)^2 + (y-14)^2 = 400
If angle ABC is an inscribed angle equal to 44 and Arc AC equals x-11. Find the length of Arc AC.
arc AC = 99
99-11 = 2(44)
If x = 3, y = 5, and r = 7 plug it into the standard form of the equation for a circle.
(3-h)^2 + (5-k)^2 = 49(7^2)