Arc Lengths
True/False: Arc length is measured in degrees.
false
I have part of a circle whose arc length is 3*pi meters. The radius of the circle is 5 meters. What is the measure of the arc?
108 degrees
How do you name circles?
by the center (point)
I have an arc that measures 1 degree. Is it a major arc, minor arc, or semicircle?
minor arc
I cut a pizza in half. Along what segment am I cutting?
diameter
Guess what? Go to answer =>
Free 200!
Arc AB and arc CD are adjacent. The measure of arc AB is 19 degrees, and the measure of arc CD is 21 degrees. What is the measure of arc AD?
40 degrees
If I have 2 arcs on 2 different circles, what must be true of those circles for these arcs to have a chance at being congruent?
the circles must be congruent
Arc PQ measures 180 degrees. Is it a major arc or a minor arc?
neither - a semicircle!
Monica is running around a circular track of radius 20m. If she has traveled 4m, what is the measure of the arc she has travelled?
11.4 degrees
Find the arc length of arc RS on circle T if the radius of circle T is 9.1m, and the measure of the arc is 214.1 degrees.
RS is 34 m
I have a circle with points A, N, and R on the circle. Arc AR measures 31 degrees. What is the measure of arc ANR?
329 degrees
What is the difference between a secant and a chord?
Secants are lines; chords are segments.
Per the Congruent Central Angles Theorem, in the same circle, 2 minor arcs are congruent if and only if their corresponding ________ _________ are congruent.
central angles
My cookie has a circumference of 6.7in. What is the radius of my cookie?
1.07 in
Find the radius of circle M if I have 60-degree arc NP with an arc length of 5cm.
4.8cm
Arc BT and arc TVF are adjacent arcs. Arc BT measures 65 degrees, and arc TVF measures 195 degrees. What is the measure of arc BF?
100 degrees
Draw a picture of a secant.
line intersecting a circle
Arc BC measures 239 degrees. How many degrees smaller would I have to make arc BC so that it's a minor arc?
More than 59 degrees (it must be <180)
A bird is flying over a field in such a way that its path grazes the edge of a circular lake. It can be said that the line the bird travels is ________ to the circular lake.
tangent
Find the circumference of circle L with arc MN measuring 67 degrees and having arc length 1 in.
5.4in
How many times have I got around a circle if I do a skateboard trick where I rotate 720 degrees?
2 times
minor arc - named with 2 points
major arc - named with 3 points
I have 2 congruent arcs. Are these chords for the arcs necessarily congruent?
Yes, as long as they are on same circle.
I do a 1080 trick as a snowboarder. How many circles have I turned in?
3