Circles and Central and Inscribed Angles

What is the measure of a central angle in a circle?

• Measure of the intercepted arc

• Diameter of the circle

• Perimeter of the circle

• Area of the circle

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5

In a circle, what is the relationship between a central angle and the arc it intercepts?

• The central angle and the arc have no relationship.

• The central angle is always less than the arc it intercepts.

• The central angle is always greater than the arc it intercepts.

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

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5

What is an inscribed angle in a circle?

• An inscribed angle is a right angle in a circle.

• An inscribed angle in a circle is an angle formed by two chords that have a common endpoint on the circle.

• An inscribed angle is always equal to the central angle of the circle.

• An inscribed angle is formed by two tangents intersecting in a circle.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

What is the relationship between an inscribed angle and the arc it intercepts?

• An inscribed angle is equal to the arc it intercepts.

• An inscribed angle is greater than the arc it intercepts.

• An inscribed angle is unrelated to the arc it intercepts.

• An inscribed angle is half the measure of the arc it intercepts.

Tags

CCSS.HSG.C.A.2

Define an arc in a circle.

• A straight line passing through the center of the circle

• A portion of the circumference of a circle defined by two points on the circle and the continuous curve connecting them.

• The area enclosed by the circle

• A point on the circumference of the circle

Tags

CCSS.HSG.C.B.5

CCSS.HSG.CO.A.1

What is a sector in a circle?

• A sector in a circle is a region enclosed by the diameter of the circle.

• A sector in a circle is a straight line passing through the center of the circle.

• A sector in a circle is a shape formed by connecting all points on the circumference.

• A sector in a circle is a region enclosed by two radii of the circle and the arc between them.

Tags

CCSS.HSG.C.B.5

CCSS.HSG.CO.A.1

Explain the relationship between the central angle and the sector it forms.

• The central angle and the sector it forms are inversely related

• The central angle has no impact on the sector it forms

• The central angle and the sector it forms have a direct relationship where the central angle increases, the area of the sector also increases.

• The sector size determines the central angle

Tags

CCSS.HSG.C.B.5

What is a chord in a circle?

• A chord in a circle is a type of geometric shape.

• A chord in a circle is a musical note played on a guitar.

• A chord in a circle is a mathematical equation used to calculate circumference.

• A chord in a circle is a line segment whose endpoints lie on the circle.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

How is the length of a chord related to the diameter of the circle?

• The length of a chord is unrelated to the diameter of the circle.

• The diameter of a circle is always equal to the radius of the circle.

• A chord passing through the center of a circle is equal to the diameter of the circle.

• A chord is always longer than the diameter of the circle.

Tags

CCSS.HSG.C.A.2

In a circle, what is the relationship between the angle formed by a chord and the arc it intercepts?

• The angle is greater than the measure of the intercepted arc.

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

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

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

Tags

CCSS.HSG.C.A.2