Arc Lengths
Arc Measures
Vocab
Types of Arcs
Applications
100

True/False: Arc length is measured in degrees.

false

100

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

100

How do you name circles?

by the center (point)

100

I have an arc that measures 1 degree. Is it a major arc, minor arc, or semicircle?

minor arc

100

I cut a pizza in half. Along what segment am I cutting?

diameter

200

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Free 200!

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

200

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

200

Arc PQ measures 180 degrees. Is it a major arc or a minor arc?

neither - a semicircle!

200

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

300

Find the measure of arc RS on circle T if the radius of circle T is 9.1m, and the arc length of arc RS is 34m.

214.1 degrees

300

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

300

What is the difference between a secant and a chord?

Secants are lines; chords are segments.

300

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

300

My cookie has a circumference of 6.7in. What is the radius of my cookie?

1.07 in

400

Find the radius of circle M if I have 60-degree arc NP with an arc length of 5cm.

4.8cm

400

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?

260 degrees

400

Draw a picture of a secant.

line intersecting a circle

400

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

400

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

500

Find the circumference of circle L with arc MN measuring 67 degrees and having arc length 1 in.

5.4in

500

How many times have I got around a circle if I do a skateboard trick where I rotate 720 degrees?

2 times

500
How can you tell from the name of an arc if it is a major arc or a minor arc?

minor arc - named with 2 points

major arc - named with 3 points

500

I have 2 semicircular arcs. Are these arcs necessarily congruent?

no - would have to be on same circle or congruent circles

500

I do a 1080 trick as a snowboarder. How many circles have I turned in?

3