Central and Inscribed Angles

Front

What is a central angle?

Back

An angle whose vertex is at the center of a circle and whose sides intersect the circle.

Tags

CCSS.HSG.C.A.2

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint.

Tags

CCSS.4.G.A.1

Front

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

Back

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

Tags

CCSS.HSG.C.B.5

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The measure of an inscribed angle is half the measure of its intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

Define a major arc.

Back

An arc that measures greater than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

Define a minor arc.

Back

An arc that measures less than 180 degrees.

Tags

CCSS.HSG.C.B.5

Front

How do you calculate the measure of a central angle?

Back

The measure of a central angle can be calculated using the formula: Central Angle = Arc Length / Radius.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of an inscribed angle?

Back

The measure of an inscribed angle can be found using the formula: Inscribed Angle = 1/2 * Intercepted Arc.

Tags

CCSS.HSG.C.A.2

Front

What is the sum of the measures of angles around a point?

Back

The sum of the measures of angles around a point is 360 degrees.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the sum of the measures of angles in a triangle?

Back

The sum of the measures of angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5