Arc Measures in Circles

The video tutorial covers various methods to calculate arc measures in circles. It begins with finding the measure of arc MN using central angles and congruent arcs. The tutorial then explores the relationship between congruent arcs and chords, demonstrating how to calculate chord measures. It also discusses symmetrical properties in circles with congruent chords and concludes with more complex arc calculations involving diameters. Throughout, the tutorial emphasizes drawing diagrams, labeling information, and marking congruent parts to solve problems effectively.

What is the measure of arc MN if the central angle is 106° and the total degrees in a circle is 360°?

• 254°

• 212°

• 106°

• 148°

What is the measure of arc MN if the central angle is 106° and the total degrees in a circle is 360°?

• 254°

• 212°

• 106°

• 148°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If two congruent arcs are 67° and 91°, what is the measure of the remaining arc in the circle?

• 202°

• 158°

• 180°

• 101°

Tags

CCSS.HSG.C.B.5

What is the total measure of the two congruent arcs if one is 67° and the other is 91°?

• 158°

• 101°

• 202°

• 180°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If two congruent arcs are 67° and 91°, what is the measure of the remaining arc in the circle?

• 180°

• 101°

• 158°

• 202°

In a circle with perpendicular chords, if two arcs are 140° each, what is the measure of the remaining arc?

• 120°

• 140°

• 80°

• 100°

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

If a circle is divided into two arcs of 140° each, what is the total measure of these arcs?

• 280°

• 360°

• 180°

• 140°

In a circle with perpendicular chords, if two arcs are 140° each, what is the measure of the remaining arc?

• 80°

• 140°

• 100°

• 120°

Tags

CCSS.HSG.C.A.2

How can you find the measure of an unknown arc if you know the other arcs are 34° each and the diameter is 180°?

• 146°

• 90°

• 112°

• 68°

Tags

CCSS.HSG.C.A.2

In a circle, if arc BC is 34° and arc AB is congruent to arc DE, what is the measure of arc AB?

• 112°

• 180°

• 68°

• 34°

Tags

CCSS.HSG.C.A.2