Angles and Arcs in Circles

The video tutorial covers the different types of angles related to circles, including those at the center, on the circle, and outside the circle. It explains the concepts of secant and tangent lines and provides formulas for calculating the measure of angles outside a circle. The tutorial also includes examples to illustrate the application of these formulas.

What are the possible positions for angles in a circle?

• Only on the circle

• Only at the intersection of two lines

• Only at the center

• At the center, on the circle, or at the intersection of two lines

What types of lines can be drawn to a circle when dealing with angles outside the circle?

• Parallel and perpendicular lines

• Horizontal and vertical lines

• Diagonal and straight lines

• Secant and tangent lines

How many times does a tangent line intersect a circle?

• Once

• Twice

• Three times

• Never

How many times does a secant line intersect a circle?

• Three times

• Never

• Once

• Twice

What is the formula to find the measure of an angle outside the circle?

• Half the difference of the measures of the intercepted arcs

• The sum of the measures of the intercepted arcs

• The difference of the measures of the intercepted arcs

• Twice the measure of the smaller arc

Does the formula for finding the measure of an angle outside the circle change for secant and tangent lines?

• No, it remains the same

• It only changes for secant lines

• Yes, it changes completely

• It only changes for tangent lines

What is the measure of angle A if the measure of arc DE is 80 degrees and arc BE is 40 degrees?

• 80 degrees

• 60 degrees

• 40 degrees

• 20 degrees

What is the measure of angle A if the measure of arc DE is 120 degrees and arc BE is 60 degrees?

• 30 degrees

• 40 degrees

• 60 degrees

• 90 degrees

What is the measure of angle A if the measure of arc DE is 90 degrees and arc BE is 30 degrees?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

What is the measure of angle A if the measure of arc DE is 100 degrees and arc BE is 50 degrees?

• 25 degrees

• 40 degrees

• 30 degrees

• 35 degrees