Inscribed & Central Angles in Circles

What is a central angle in a circle?

• An angle formed by two points on the circle and a point inside the circle.

• An angle formed by two points on the circle and a point on the circumference.

• An angle formed by two points on the circle and a point outside the circle.

• An angle formed by two points on the circle and the center.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

What is the relationship between a central angle and the arc it intercepts?

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

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

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

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

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.B.5

What is an inscribed angle?

• An angle formed by two points on the circle and a point outside the circle.

• An angle formed by two points on the circle and the center.

• An angle formed by two points on the circle and a point inside the circle.

• An angle formed by two points on the circle and a point on the circumference.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3

How does the measure of an inscribed angle compare to the arc it intercepts?

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

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

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

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

Tags

CCSS.HSG.C.A.2

If an arc measures 100°, what is the measure of the inscribed angle intercepting this arc?

• 75°

• 25°

• 100°

• 50°

Tags

CCSS.HSG.C.A.2

What is true about multiple inscribed angles intercepting the same arc?

• They are all twice the measure of the arc.

• They are all unrelated to the arc.

• They are all congruent.

• They are all different in measure.

Tags

CCSS.HSG.C.A.2

If an arc measures 90°, what is the measure of each inscribed angle intercepting this arc?

• 60°

• 45°

• 90°

• 30°

Tags

CCSS.HSG.C.A.2

What is the measure of an inscribed angle intercepting a semicircle?

• 180°

• 90°

• 45°

• 60°

Tags

CCSS.HSG.C.A.2

Why is an inscribed angle intercepting a semicircle always a right angle?

• Because a semicircle measures 360°.

• Because a semicircle measures 45°.

• Because a semicircle measures 180°.

• Because a semicircle measures 90°.

Tags

CCSS.HSG.C.A.2

What is the general rule for inscribed angles in a circle?

• They are always equal to the measure of their arcs.

• They are always twice the measure of their arcs.

• They are always half the measure of their arcs.

• They are unrelated to the measure of their arcs.

Tags

CCSS.HSG.C.A.2