11.2: Arcs & Chords

The arc CB is a ___________________

• Major arc

• Minor arc

• Semicircle

• Chord

Answer explanation

Minor arcs are LESS than 180 degrees (half a circle) and are labeled with 2 letters. Major arcs are MORE than 180 degrees (labeled with 3 letters). Semicircles are HALF A CIRCLE. Chords are a segment inside a circle, not an arc.

The arc AC is a _________________

• Major Arc

• Minor Arc

• Semicircle

• Chord

Answer explanation

Minor arcs are LESS than 180 degrees (half a circle) and are labeled with 2 letters. Major arcs are MORE than 180 degrees (labeled with 3 letters). Semicircles are HALF A CIRCLE. Chords are a segment inside a circle, not an arc.

Which of the arcs below is a major arc?

• AB

• DC

• ABC

• ADB

Answer explanation

Minor arcs are LESS than 180 degrees (half a circle) and are labeled with 2 letters. Major arcs are MORE than 180 degrees (labeled with 3 letters). Semicircles are HALF A CIRCLE. Chords are a segment inside a circle, not an arc.

What is the measure of arc TQ?

• 65

• 80

• 35

• 260

Answer explanation

PQR is a semicircle (180 degrees). Subtract the known values to get what you need.

In the last problem you said TQ was 80 degrees. What is the measure of arc RV? (You don't have to write degrees)

Answer explanation

Again, use semicircles to help you solve.

Alright, then what is the last arc measure (PV)? Again, do not write degrees.

Answer explanation

Arc VQT is a semicircle and arc TP is 35 degrees. An entire circle is 360. So 360-180-35

What is the measure of arc FCD? Do not type degrees

Answer explanation

It's made up of 3 smaller arcs that you are given the measure of. Add up all the parts!

What is the measure of arc ED? Do not type degrees

Answer explanation

You have a semicircle with BCE. So you can do 180-90-52 to get the 3rd part.

Find y

Answer explanation

Since the angles are equal, so are the segments across from them. 6y=8y-8. When you bring the y's together you get -2y=-8. Divide to solve.

Find the length of RS.

Answer explanation

We said y was 4 so plug it in.