Central Angles

If the measure of arc HI is 93°, what is the measure of ∠HOI?

• 90°

• 93°

• 87°

• 95°

Define the term 'arc' in the context of a circle.

• A straight line that connects two points on a circle.

• A portion of the circumference of a circle.

• The center point of a circle.

• The area enclosed by a circle.

What is a circle?

• A circle is a polygon with three sides.

• A circle is a set of all points in a plane that are equidistant from a single point called the center.

• A circle is a closed figure with four equal sides.

• A circle is a shape that has no edges or vertices.

What is the definition of a radius?

• A radius is a line segment from the center of a circle to any point on the circle.

• A radius is the distance around the edge of a circle.

• A radius is a line segment that connects two points on a circle.

• A radius is a line that divides a circle into two equal halves.

What is the formula to find the measure of a central angle given the measure of the arc?

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

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

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

• The measure of the central angle is the sum of the measures of the arcs on either side.

What is the relationship between a central angle and its intercepted arc?

• The measure of a central angle is equal to the measure of its intercepted arc.

• The measure of a central angle is half the measure of its intercepted arc.

• The measure of a central angle is twice the measure of its intercepted arc.

• The measure of a central angle has no relation to its intercepted arc.

What is the measure of a semicircle?

• 90°

• 180°

• 360°

• 270°

If the measure of arc FG is 40°, what is the measure of ∠FOG?

• 30°

• 40°

• 50°

• 60°

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 120°

• 180°

• 90°

What is a central angle?

• An angle whose vertex is at the center of a circle and whose sides are radii that extend to the circumference.

• 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.

• An angle that measures more than 180 degrees.