Exploring Circle Geometry: Angles and Arcs

What is the measure of a central angle if its intercepted arc is 50 degrees?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

If an inscribed angle measures 30 degrees, what is the measure of its intercepted arc?

• 30 degrees

• 60 degrees

• 15 degrees

• 120 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of the intercepted arc if a tangent chord angle measures 25 degrees?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

For a secant secant angle, if one arc measures 110 degrees and the other 60 degrees, what is the angle measure?

• 25 degrees

• 50 degrees

• 75 degrees

• 100 degrees

Tags

CCSS.HSG.C.A.2

If the measure of arc AC is 9x + 18 and arc DE is 5x + 10, and angle ABC is x^2 + 6, what is the measure of arc AC?

• 50 degrees

• 9 degrees

• 90 degrees

• 120 degrees

Tags

CCSS.HSG.C.A.2

What is the measure of angle AFE in a chord chord angle scenario where arc AE is 130 degrees and arc BD is 70 degrees?

• 100 degrees

• 30 degrees

• 50 degrees

• 200 degrees

Tags

CCSS.HSG.C.A.2

In a secant tangent angle scenario, if arc AC is 130 degrees and angle B is 30 degrees, what is the measure of arc DC?

• 30 degrees

• 100 degrees

• 60 degrees

• 70 degrees

Tags

CCSS.HSG.C.A.2

If an angle formed by two intersecting chords is 55 degrees, and one of the intercepted arcs measures 70 degrees, what is the measure of the other arc?

• 70 degrees

• 25 degrees

• 55 degrees

• 40 degrees

Tags

CCSS.HSG.C.A.2

For a tangent tangent angle, if the major arc measures 220 degrees, what is the measure of the angle?

• 140 degrees

• 20 degrees

• 40 degrees

• 70 degrees

Tags

CCSS.HSG.C.A.2

In a scenario with a central angle of 40 degrees, what is the measure of the inscribed angle that shares the same intercepted arc?

• 20 degrees

• 40 degrees

• 60 degrees

• 80 degrees

Tags

CCSS.HSG.C.A.2