Circle Theorems

Front

What is the definition of a circle theorem?

Back

Circle theorems are statements or propositions that describe the relationships between angles, arcs, and chords in a circle.

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the angle subtended by the arc at the center of the circle, measured in degrees.

Front

How do you find the measure of an arc NM if the central angle is 186 degrees?

Back

The measure of arc NM is equal to the measure of the central angle, so arc NM measures 186 degrees.

Front

What is the relationship between angles formed by intersecting chords in a circle?

Back

The angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the value of x in circle theorems?

Back

To calculate the value of x, you often set up equations based on the relationships defined by circle theorems and solve for x.

Tags

CCSS.HSG.C.A.2

Front

What is the angle subtended by an arc at the center of the circle?

Back

The angle subtended by an arc at the center of the circle is equal to the measure of the arc.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the measure of an angle formed by two tangents to a circle?

Back

The angle formed by two tangents to a circle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed between a tangent and a chord through the point of contact is equal to the measure of the opposite arc.

Tags

CCSS.HSG.C.A.2

Front

How do you find the measure of a missing arc when given intersecting chords?

Back

To find the measure of a missing arc when given intersecting chords, use the formula: (arc1 + arc2) / 2 = angle formed by the intersecting chords.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an angle formed by two secants that intersect outside the circle?

Back

The angle formed by two secants that intersect outside the circle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2