Arc Length and Angle Measures

The video tutorial covers measuring angles and arcs in circles, focusing on central angles and their properties. It includes example problems for finding specific angles and arc measures, and explains the types of arcs and their naming conventions. The tutorial concludes with a formula for calculating arc length, providing a comprehensive understanding of these geometric concepts.

What is the sum of all central angles in a circle?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

If angle 1 is 120 degrees and angle 2 is 100 degrees, what is angle 3 in a circle?

• 140 degrees

• 140 degrees

• 140 degrees

• 120 degrees

In the example problem, what is the value of X if 25X + 3X + 2X equals 180 degrees?

• 7

• 6

• 5

• 8

What is the measure of angle AOD if X equals 6 and angle AOD is 25X?

• 120 degrees

• 180 degrees

• 130 degrees

• 150 degrees

How do you find the measure of angle AOE if it equals 5X and X is 6?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is a minor arc?

• An arc that is a full circle

• An arc exactly 180 degrees

• An arc more than 180 degrees

• An arc less than 180 degrees

How many letters are needed to name a major arc?

• Four

• Three

• Two

• One

What is the formula for calculating arc length?

• Theta/360 * Diameter

• Theta/180 * Circumference

• Theta/180 * Diameter

• Theta/360 * Circumference

If the radius of a circle is 15 and the angle is 120 degrees, what is the arc length?

• 25π

• 15π

• 20π

• 10π

What is the simplified arc length if the angle is 45 degrees and the radius is 8?

• 5π

• 4π

• 6π

• 3π