Circle Basics, Central Angles, and Arcs.

Define a central angle.

• An angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.

• An angle formed by two tangents to a circle from a point outside the circle.

• An angle whose vertex is on the circumference of the circle and whose sides are chords of the circle.

• An angle formed by two secants intersecting outside the circle.

What is a minor arc?

• An arc that measures less than 90 degrees.

• An arc that measures exactly 180 degrees.

• An arc that measures less than 180 degrees.

• An arc that measures more than 180 degrees.

What is an arc in a circle?

• A straight line connecting two points on the circle.

• A portion of the circumference of a circle.

• The center point of the circle.

• The area enclosed by the circle.

How do you find the measure of an arc if given the central angle?

• The measure of the arc is the same as the measure of the central angle.

• The measure of the arc is half the measure of the central angle.

• The measure of the arc is twice the measure of the central angle.

• The measure of the arc is unrelated to the central angle.

What is the formula for the circumference of a circle?

• C = πd

• C = 2πr

• C = r^2

• C = 2r

What is the relationship between the central angle and the arc it subtends?

• The measure of the arc is equal to the measure of the central angle in degrees.

• The measure of the arc is twice the measure of the central angle in degrees.

• The measure of the arc is half the measure of the central angle in degrees.

• The measure of the arc is unrelated to the measure of the central angle.

What is a major arc?

• An arc that measures less than 90 degrees.

• An arc that measures exactly 180 degrees.

• An arc that measures more than 180 degrees.

• An arc that measures between 90 and 180 degrees.

What is the measure of arc DCF if the central angle is 236 degrees?

• 210 degrees

• 236 degrees

• 250 degrees

• 180 degrees

How do you calculate the length of an arc?

• Length = (θ/360) * C, where θ is the central angle and C is the circumference.

• Length = (C/θ) * 360, where θ is the central angle and C is the circumference.

• Length = θ * C, where θ is the central angle and C is the circumference.

• Length = (C * θ) / 360, where θ is the central angle and C is the circumference.

What is the measure of angle UXV if it is given as 72 degrees?

• 60 degrees

• 72 degrees

• 90 degrees

• 45 degrees